{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "from PIL import Image, ImageDraw, ImageFont \n",
    "from skimage import transform as tf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def create_captcha(text, shear=0, size=(100, 30), scale=1):\n",
    "    im = Image.new(\"L\", size, \"black\")\n",
    "    draw = ImageDraw.Draw(im)\n",
    "    font = ImageFont.truetype(r\"bretan/Coval-Black.otf\", 22) \n",
    "    draw.text((0, 0), text, fill=1, font=font)\n",
    "    image = np.array(im)\n",
    "    affine_tf = tf.AffineTransform(shear=shear)\n",
    "    image = tf.warp(image, affine_tf)\n",
    "    image = image / image.max()\n",
    "    shape = image.shape\n",
    "    # Apply scale\n",
    "    shapex, shapey = (shape[0] * scale, shape[1] * scale)\n",
    "    image = tf.resize(image, (shapex, shapey))\n",
    "    return image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f48c039a908>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"130pt\" version=\"1.1\" viewBox=\"0 0 365 130\" width=\"365pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 130.567187 \n",
       "L 365.925 130.567187 \n",
       "L 365.925 0 \n",
       "L 0 0 \n",
       "L 0 130.567187 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 23.925 109.689062 \n",
       "L 358.725 109.689062 \n",
       "L 358.725 9.249062 \n",
       "L 23.925 9.249062 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pd63677cef7)\">\n",
       "    <image height=\"101.0\" id=\"image2213cd54a8\" width=\"336.0\" x=\"23.925\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.6890625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 23.925 9.249062 \n",
       "L 358.725 9.249062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 23.925 109.689062 \n",
       "L 23.925 9.249062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 23.925 109.689062 \n",
       "L 358.725 109.689062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 358.725 109.689062 \n",
       "L 358.725 9.249062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -4 \n",
       "\" id=\"me2e4c4c793\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.715\" xlink:href=\"#me2e4c4c793\" y=\"109.6890625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 4 \n",
       "\" id=\"md43fdb58cd\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.715\" xlink:href=\"#md43fdb58cd\" y=\"9.2490625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(23.53375 121.2875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"82.515\" xlink:href=\"#me2e4c4c793\" y=\"109.6890625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"82.515\" xlink:href=\"#md43fdb58cd\" y=\"9.2490625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(76.1525 121.2875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"138.315\" xlink:href=\"#me2e4c4c793\" y=\"109.6890625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"138.315\" xlink:href=\"#md43fdb58cd\" y=\"9.2490625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(131.9525 121.2875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"194.115\" xlink:href=\"#me2e4c4c793\" y=\"109.6890625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"194.115\" xlink:href=\"#md43fdb58cd\" y=\"9.2490625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 30 -->\n",
       "      <defs>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "\" id=\"BitstreamVeraSans-Roman-33\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(187.7525 121.2875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"249.915\" xlink:href=\"#me2e4c4c793\" y=\"109.6890625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"249.915\" xlink:href=\"#md43fdb58cd\" y=\"9.2490625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 40 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-34\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(243.5525 121.2875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-34\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"305.715\" xlink:href=\"#me2e4c4c793\" y=\"109.6890625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"305.715\" xlink:href=\"#md43fdb58cd\" y=\"9.2490625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 50 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(299.3525 121.2875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 4 0 \n",
       "\" id=\"ma630f23dae\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#ma630f23dae\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -4 0 \n",
       "\" id=\"m27f908d94f\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#m27f908d94f\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(13.5625 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#ma630f23dae\" y=\"39.9390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#m27f908d94f\" y=\"39.9390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(13.5625 42.6984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#ma630f23dae\" y=\"67.8390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#m27f908d94f\" y=\"67.8390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(7.2 70.5984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#ma630f23dae\" y=\"95.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#m27f908d94f\" y=\"95.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(7.2 98.4984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pd63677cef7\">\n",
       "   <rect height=\"100.44\" width=\"334.8\" x=\"23.925\" y=\"9.2490625\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f48a2c00978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt\n",
    "image = create_captcha(\"GENE\", shear=0.5, scale=0.6)\n",
    "plt.imshow(image, cmap='Greys')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"164pt\" version=\"1.1\" viewBox=\"0 0 477 164\" width=\"477pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 164.605187 \n",
       "L 477.525 164.605187 \n",
       "L 477.525 0 \n",
       "L 0 0 \n",
       "L 0 164.605187 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 23.925 143.727062 \n",
       "L 470.325 143.727062 \n",
       "L 470.325 9.807063 \n",
       "L 23.925 9.807063 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pf7ca711606)\">\n",
       "    <image height=\"135.0\" id=\"image43352437c0\" width=\"447.0\" x=\"23.925\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.7270625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 23.925 9.807063 \n",
       "L 470.325 9.807063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 23.925 143.727063 \n",
       "L 23.925 9.807063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 23.925 143.727062 \n",
       "L 470.325 143.727062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 470.325 143.727063 \n",
       "L 470.325 9.807063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -4 \n",
       "\" id=\"mb1d60f1ca2\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.157\" xlink:href=\"#mb1d60f1ca2\" y=\"143.7270625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 4 \n",
       "\" id=\"mf4306d4c6b\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.157\" xlink:href=\"#mf4306d4c6b\" y=\"9.8070625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(22.97575 155.3255)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"115.437\" xlink:href=\"#mb1d60f1ca2\" y=\"143.7270625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"115.437\" xlink:href=\"#mf4306d4c6b\" y=\"9.8070625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(109.0745 155.3255)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"204.717\" xlink:href=\"#mb1d60f1ca2\" y=\"143.7270625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"204.717\" xlink:href=\"#mf4306d4c6b\" y=\"9.8070625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 40 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-34\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(198.3545 155.3255)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-34\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"293.997\" xlink:href=\"#mb1d60f1ca2\" y=\"143.7270625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"293.997\" xlink:href=\"#mf4306d4c6b\" y=\"9.8070625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 60 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-36\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(287.6345 155.3255)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-36\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"383.277\" xlink:href=\"#mb1d60f1ca2\" y=\"143.7270625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"383.277\" xlink:href=\"#mf4306d4c6b\" y=\"9.8070625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 80 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "\" id=\"BitstreamVeraSans-Roman-38\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(376.9145 155.3255)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-38\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 4 0 \n",
       "\" id=\"md0ec781b9e\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#md0ec781b9e\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -4 0 \n",
       "\" id=\"m42a6a58538\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#m42a6a58538\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(13.5625 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#md0ec781b9e\" y=\"34.3590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#m42a6a58538\" y=\"34.3590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(13.5625 37.1184375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#md0ec781b9e\" y=\"56.6790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#m42a6a58538\" y=\"56.6790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 59.4384375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#md0ec781b9e\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#m42a6a58538\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(7.2 81.7584375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#md0ec781b9e\" y=\"101.3190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#m42a6a58538\" y=\"101.3190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(7.2 104.0784375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#md0ec781b9e\" y=\"123.6390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#m42a6a58538\" y=\"123.6390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(7.2 126.3984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pf7ca711606\">\n",
       "   <rect height=\"133.92\" width=\"446.4\" x=\"23.925\" y=\"9.8070625\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f48c032a4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "image = create_captcha(\"BONE\", shear=0.1, scale=1.0)\n",
    "plt.imshow(image, cmap='Greys')\n",
    "plt.savefig(\"/home/robert/data/Dropbox/Books/LearningDataMiningRevision/Chapter 8/Graphics/B06162_08_12.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"164pt\" version=\"1.1\" viewBox=\"0 0 477 164\" width=\"477pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 164.605187 \n",
       "L 477.525 164.605187 \n",
       "L 477.525 0 \n",
       "L 0 0 \n",
       "L 0 164.605187 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 23.925 143.727062 \n",
       "L 470.325 143.727062 \n",
       "L 470.325 9.807063 \n",
       "L 23.925 9.807063 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p55e7dfbfce)\">\n",
       "    <image height=\"135.0\" id=\"imagec7ed246748\" width=\"447.0\" x=\"23.925\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.7270625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 23.925 9.807063 \n",
       "L 470.325 9.807063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 23.925 143.727063 \n",
       "L 23.925 9.807063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 23.925 143.727062 \n",
       "L 470.325 143.727062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 470.325 143.727063 \n",
       "L 470.325 9.807063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -4 \n",
       "\" id=\"m4aea96badb\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.157\" xlink:href=\"#m4aea96badb\" y=\"143.7270625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 4 \n",
       "\" id=\"m7346605cef\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.157\" xlink:href=\"#m7346605cef\" y=\"9.8070625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(22.97575 155.3255)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"115.437\" xlink:href=\"#m4aea96badb\" y=\"143.7270625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"115.437\" xlink:href=\"#m7346605cef\" y=\"9.8070625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(109.0745 155.3255)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"204.717\" xlink:href=\"#m4aea96badb\" y=\"143.7270625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"204.717\" xlink:href=\"#m7346605cef\" y=\"9.8070625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 40 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-34\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(198.3545 155.3255)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-34\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"293.997\" xlink:href=\"#m4aea96badb\" y=\"143.7270625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"293.997\" xlink:href=\"#m7346605cef\" y=\"9.8070625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 60 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-36\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(287.6345 155.3255)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-36\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"383.277\" xlink:href=\"#m4aea96badb\" y=\"143.7270625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"383.277\" xlink:href=\"#m7346605cef\" y=\"9.8070625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 80 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "\" id=\"BitstreamVeraSans-Roman-38\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(376.9145 155.3255)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-38\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 4 0 \n",
       "\" id=\"mb81205fedb\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mb81205fedb\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -4 0 \n",
       "\" id=\"mc9a3405f44\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#mc9a3405f44\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(13.5625 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mb81205fedb\" y=\"34.3590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#mc9a3405f44\" y=\"34.3590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(13.5625 37.1184375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mb81205fedb\" y=\"56.6790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#mc9a3405f44\" y=\"56.6790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 59.4384375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mb81205fedb\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#mc9a3405f44\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(7.2 81.7584375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mb81205fedb\" y=\"101.3190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#mc9a3405f44\" y=\"101.3190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(7.2 104.0784375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mb81205fedb\" y=\"123.6390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#mc9a3405f44\" y=\"123.6390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(7.2 126.3984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p55e7dfbfce\">\n",
       "   <rect height=\"133.92\" width=\"446.4\" x=\"23.925\" y=\"9.8070625\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f489e57c4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "image = create_captcha(\"BARK\", shear=0.8, scale=1.0)\n",
    "plt.imshow(image, cmap='Greys')\n",
    "plt.savefig(\"/home/robert/data/Dropbox/Books/LearningDataMiningRevision/Chapter 8/Graphics/B06162_08_13.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"165pt\" version=\"1.1\" viewBox=\"0 0 477 165\" width=\"477pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 165.349187 \n",
       "L 477.525 165.349187 \n",
       "L 477.525 0 \n",
       "L 0 0 \n",
       "L 0 165.349187 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 23.925 144.471062 \n",
       "L 470.325 144.471062 \n",
       "L 470.325 10.551063 \n",
       "L 23.925 10.551063 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pd3050f6e49)\">\n",
       "    <image height=\"135.0\" id=\"imagec784840e0d\" width=\"447.0\" x=\"23.925\" xlink:href=\"data:image/png;base64,\n",
       "iVBORw0KGgoAAAANSUhEUgAAAb8AAACHCAYAAACGTVcGAAAABHNCSVQICAgIfAhkiAAAIABJREFUeJztnelSG8u2rad61HcI7OU45/3f6uwVey9jOvUNICHdH75fetSkJCQQtreVI0KBG1SVlZU5x+wzs9lsNhYREREREXFCyP7qAURERERERPxsRPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg5RPKLiIiIiDg55M3MNpuN8ZPPer229Xptq9UqfPh3fj8N2WzWMpmMZbPZ8MnlcpbL5Syfz1sulzMzs0wmY5lM5tUB+nvp+J6fn8OHMa7X663X4n46Rj82/b+3Qsfs5zRtzPr7zEva/DFOnbt95nDXOP34NptNGNdyudzrnR8KHTvPmMlkLJ/PJ94Dn1+Nbe9zs9kk3iU/d63BtyJtXWSz2TBfunb5/WNg27PrOta1/DsgbX2xj37H9RXxa5DnDyrkdDMvFgt7eHiwh4eHsNB3bW4V0vl83gqFghUKBSuVSlYqld4suNmESspPT0/hwxh3bUAlNjZBoVCws7MzK5VKVigUwriPAa9ILJfLMN7Hx0d7fHy0h4eHxHx6Qmb+isVimD9VII41PhVkDw8P4b3rvx8LKsh5D/l8PqyRUqkU3sPvJJz8+3x+fk68z4eHB3t8fPwQEkhbF/l8PqyLUqkUfu9YxKfwz657T5/9mErSW8HaQqHS9XV2dmbFYvG3XF8RPxcJ8lPiWy6XtlwubTab2WQysel0mrACtwFhrYR3dnZmm80mCLu3blAV1KvVyh4fH22xWNh8PrfpdGqz2cweHx9Tv6taIKSH4FDrS8nlPVBrmjEvl8tALLPZLHx0PhmbJ4NyuWxmFiy/Ywk5b+H7d846OKZAV627WCyGd1GtVm29Xics9N8N296nrsGnp6ej31dJTwmvXC4HIZ/NZm2z2Ryd/FTxRBF6enqyxWKRWMvT6fS3IL/X1pfZD3kQcbpImDgQIELw8fHRJpOJ3d/fW7/fD9rd4+Nj2AhqtWQymcTGrFarVqlUrFarWbfbtWw2G6yXQzZJmutwuVzadDq10Whkg8HA+v2+9ft9m81mqddQN2c+nw/WXq1Ws1arZe122xqNhlUqlcR3vHv2UGtVx/z4+Gjj8fjFmFVYQnrFYtEqlYpVKhWrVqvWarWs0+lYqVQ6KvGptYcg7/f7dnd3Z/f39+F9H1OgqxWDcnR2dmbtdttarZa1Wq3w7GnPqe9lX/f5e6HvEoVgPp/baDSy4XAYfg6HQ1ssFke/v1p5Z2dnYX6azaa1Wi3bbDZ2dnaWcI2DbXP1nrX88PBgo9HIRqNRWMf9fv9DXL6HAremKpDlctk6nY51Op3wLJH8ThsvLD+v1Y7HY7u9vbXr62ubzWY2n89tPp8HAbBcLsPFMpmMlcvlsDkbjYY1Gg1rt9uWzWatXC5bvV5/s9bl3S7T6dTu7+/t+vravn37ZldXVzYcDlO/i0WXy+UCsZTLZWu1WnZxcWHPz89hDtCi9fNWAasuMpSJu7u7MN5v374lhGWxWAxzWK/XwxyuVisrFovWaDSsUCgcRcNWYf7w8BCsvevra/vnn3/s69evCbf3sbR6dd+Vy+VA8BcXF/b09BTGhQBT+DjhR7n5PNL2Buvv5ubGbm9v7fb21u7u7mw6nR79/rjny+WyVatVq9frVq/XbbFY2GazCUplPp8Pc2f2g/ggBP7t0Gf38mGxWNhoNLKbm5uwlq+uro7qHn8r1NXJPq9Wq/bw8GBm3/cYilfE6SLV8mODq+X39etXG4/HNplMbDKZJKxAkM1mg0Zaq9Ws0+lYu922h4eHoHk9Pz8H98wh8MF23HP9ft++fftm//rXv+zvv/+2u7u71O+r/x+Lr1qt2vn5ua1Wq0Sc8uzsLPxZrdS3aMpK2Fh+d3d39s8//9jff/9tf//9d8JaVYsZi7TT6Vg2mw0kiHB7r4tL3dwI88FgYNfX1/bvf//b/u///i+h8ByL/FQ48R4ajYY9PT1ZJpOxQqFg2Ww2uM4VWI2bzSb8/Bnwa4/5Yv2hLFxdXdl4PD76/dUT0Gg0goWMUlSv14PLHKuGtZEWI9533ej8qiKnivF//vMf+/vvv+1f//rXb5H0ovkGur7MLOx95jPidBHIT92CCJ3NZpOwjNAuNdahGz2bzSZiAMSKstms9Xq9kNzxFteIT5LQYLVaVa9ZfgjV2Wxm5XLZFotFSJ7BjToej63dblutVrN6vR5cjYdYGRq3UmENaa1WqzB/k8kkfK9YLNpisbBSqWSPj4+2XC7t+fnZ6vW6zefzQH5vFfr6PUgPJeL6+tqur6/tP//5j3379s3u7u5sPp8H6+8YRONjr/P53Mrlso3H4xBLms1m1m63rd1uW7PZDN/NZrNWrVbDBxfgMWK0HmlZjljJ4/E4eBwgvOvra7u7u7PBYJB4n8dCoVCw+XxuZ2dnNp1Ow1pdLBb2+Pho8/nc6vV6iHGxR7B+sBRRLA5dx2aWkA+5XC4ohiiio9Eo4Qn6FVAPj66v6XRqtVrN2u22nZ+fW7Va/S2s1IhfhxfkZ/Z9o5l9X+ztdtvW63UgGxa6mQW/v15Dk13IGM3lcjaZTEKsEGGyLzyRmFkicQZNFIGw7RrqAioWi1YsFsO45vO5jcfjQEaz2cwuLy/D87zFwlKFwsyCwDCzBPmpAqHJOI+PjyGu2ul0QnLMsUoP1OLr9/t2dXVl//73v4NAv729TbXw3wt1V/IeSqWSPT09hffQarWs2WwGjd3s+zs/Pz+3Xq8XFAJiYR8JJb+npycbjUYJ1/DXr1/t+vra7u/vbTAYbI07vwea8HJ2dmaj0cgqlUpYq5PJxGq12otks1KpFDwuxWIx7PFDww7b1jLkR/zzV5Of2cuEF7wp7XbbLi4ubDqdBi9KxOkib2ZhEbPA8YkXCoVAfGdnZyHJpN/vm9lL8jNLaodYecVi0cbj8ZvJjzFyfc1uM/th+e0iP72OWoGVSsXm87lNJhMbj8c2nU5DTLNQKIQkmEPjlFrOgaDQjDwlP69AMDa1lC8vL4Pl95b5S4Mnv2/fvtnff/9t19fXIY719PT0IrZ7LHhrnPkYDAbWaDSs2WxarVYLc1ksFoP7Fevm7Ozs6ONKg5Y2jMdju7m5sX/++SfEum5vbz804UUtZiW30Whkk8kkkCGWn8ZSHx8frVgsWqvVCl6MQ1zmPvuWPc6/k/k5Ho8/JNP1LWCfY/2Wy2Xr9Xo2GAxsOp0GxTLidBGK3H08gA1CAsbz83NwA9brdatUKnZ2dmaFQiFYJxAbPzUNnKSJp6ensHmen58PztjTjYgmTI0eAtFnovqYHdYiwmQ6nSaKhtksnU7H5vO5VavVMEd6jX3G7K1WLBX95HK5MGZ9H9Qv6hySeanJIK/VTSpZajE2mXoQHVm94/HY5vN5gvhWq1XCYlPLQrM31T2t99dSCuodKaIn2Wg2mwUXMWUsmvGpFjhJF1xPXX2M8a01pUDLakjr7/f7IVN3MBgE8pnNZvbw8PCiLASy0jIF3vk2V7o2G8Dq1iYTXB+vCuuA/YhSQOx4vV6H/UEmbblcDu5LfW+75on3ul6vX6xlrq+1wFru8zOh75z1hTKpNaxPT09hXb8nEzbivxOJhJe0+qpisRgWr2YfVqvVsNnM7EUsTwUYcSM2siaXHJKBpr/j6550ExIn22ZleoHIhua6uVzOKpWK9Xo9m8/n9vj4mLBS3kLW3MeTH8IKIkDAmVkoHta4G+QHye+T8ajJNypQR6NRIlvx7u7O+v2+jUajUDMJWSJAuF+pVArWmRbiKxHq/SEPYsLT6TShpEAwZmbL5dIWi4VNp9Ng2aHFm/0gpeVyGdYdAp0Y4HszdX0yEK5FLVEZDAY2HA5fkJ9aFKwbyIgP4/RrSrunLBaL4JGA6HXOdM0sl8tQvM39sPzw3uRyOXt4eLBms2nNZjMUfGtM26/ZtLWcVivLetZ3ouvuV0CV3Ewmk1AkiaeTk/DerO6I/z68cHsCFgIB8lwul7D8lPzYiFougCvSC++np6ewaZRw9oVaFhq7UzJhHGqJbgOC5OnpKWjSuVzO6vV6sIAgbDTl19xGOp9qMW6z/PL5fBizziGWnyc/Nu0hlrMmbCAA0iw/EjZ4bgQZc4iAPDs7s2azab1eL9TpaZaslihsNpuQJTwejy2XywVS0fZYuJsXi0VifpjTfD6fIAeyXrke43tvpi5j1qxnEjq0ps1bfpqgBLSutF6vh0SearUalAa1vCCy1Wplk8nEbm9vE2TC/2nXIOZMW3elkV8+nw8WeCaTSew/3lcaAfp53LaWUeR0fL+S/HT8ZhbIz1t+6sJ9bwZ1xH8PEgkvaX+GmIgjVKvVoDmi+aPF66I3s/BvCBAEuW4as8OC716b1AQWBDD3RUDq5k27nk9fL5VKNhwOEzFA3FfMx64xe3ePjhniZg6wVrwmT7q6xldU2GniS9qz6b11PubzuQ2HQxsMBgnSw4JZLBZBKOgcEwtG02+1Wtbr9eyvv/4K1kylUkm4nxVYScPhMOGe04QaJfI0hYr3jEZPlu5isbCLi4tAgOqONdutXPm54+8ob8Sy7u7u7Pb21r5+/Wo3NzcJC5m2erwPfQ5S6zudjp2fn9vFxYX1er2QmYnyoy5F3rHOVblcDhYzJLtcLsP3mCdis7iWqW3j3yhdWS6X1ul0guXDPHk54F2IQPccpU3NZjNhiZr9cOEqVIH1f+b/jwWNF+Nu5j2zhswsWn4niK1NLNXFwQI9OzsLixziazQawXLSdHiErhdS8/k8bBosl301Q187pxYgsb+zs7Pg2tvXIkJw4N7K5/Oh5AErCAF0aJ2ijpnvKPlB2MvlMmxAFfbqQlTBiPWjxcvb7q3W1Ww2C7V8JLbc3d3ZcDi06XSaID/fCopMQ2oQe72effnyJbjDSaXHCtBx3N/f2/39faixQtBSQzifzxN1ZBoDVSUmk8kES0djoqvVKnT0QHHw1t8h7wryw+K7v7+3q6urQH739/c2Ho9TLT5dl6VSyer1unW7Xfv06ZN9/vzZPn/+HJJP6GPKPmMvLZdL6/f7wZVcKpVsPB6HpB+USZ0jJWCIO5/Phx6c2n6NZ8xkvjem8Mksr8Gvh3q9bs1mM1iWyII04uMeaT+PTUAaLy6VSom9xJyhQOtYIwn++UglPwSGCnlcKbVaLRAfH4QRC0hdZeo6gvzK5XIQFocQiVm65adEUi6XQ0xs32tr42YEprf8IKhSqXRQnaKP4yHA1fIrlUr28PAQEl90zlUgQH56gsUuy0/vzXuYz+cJ8lPLD/LT0yZUM1frXy0/Cq5brdYLdyVjIXOzXC4n1slkMgkWNUJaE2Q0QQeLgvgbygpCnrWpGZHa7eSQ9+XJj6483vIjlq1ZuAhTbajQ6XTs8vLSvnz5Yv/zP/9jnU4nKD5aewf5PT09WbPZDNYg64U493w+t0wmExQV/9F3N5/PQy0npMT4yuVyiNuiMOzjKkbhVMuv0WgEZYSENt/+kHWtXX70NI9dytx7gFKWZvkxx9HleVp4QX7e9aC+cO+uq1arVqvVbDabJTawfgeXG4JkMpkkehPu06VDhbhvvkydnAaxdyW7vIa0FlYkXtRqNVsulweNmWtRJsKYvYsR61NjVrSG63a7oegeS+G1DD21+DTWMRgMbDAYhPge/Rlx3/lsPU0oguCol+r1etbpdIIHAMuPj44Flxjrp1qthtpFLBIsQE2O0Y8SI+8GN2y/37f7+/tQF6j1f69ZMmnrS2Oi9Dnd5h7m3XGvQqEQ1ne32w1zxXtsNpuheYK3/Dab7xnWKDd4BJrNZqLDEo0kdH507pQUWcuZTCbsl+FwmAhbaHhjm/XlXaJad0jLNd6JJvLw+yhyyA4yxvlo4syxkc/n7cuXL/blyxe7vLy0ZrMZLN7o7jxNHHR2D5oa7kUWPO4YtD2gVoeSH7VHXnDsAtfC1QWR8IH89rGKdt1DhSAZhzpmXJ/7kp9mVyr5eRejJnCgXDSbzRArgvywFF7TkJV49TkgPsoasHB9dqe6XtXVSZH5xcWFnZ+fW7fbtXq9brVazWq12taEF4gUK6Hdbtvl5WUQ2l6ZQdBTB8lcYv1tNpvgoi4UCiEJpdlshgQTlKt9LHW/vugWdH9/n8iEJSEIi0/jkpqEVa/XrdVq2eXlZSA/3iOKgo/5+WxPtc7Oz88TJ4GglOmc4ar3sUhNLqImEPJrtVrB+qbEZ5994xVhXJ+j0Si4F9PIj44zKFIk0NVqtaAwfETbsVwuZ91uN3xarVYiM9jHNyP+fBxEftssP2qGvBal5IeLajweW6PRCIJDsz63Qa0oYocIADa+j728tQsKY/aWH3Vv+xxW6t2NdC7ZZfnhJsZVRj/CdrsdLCwsP58hmAa1YngOEl2wkkhC8eSnwg8i4fSL8/PzhEDvdrsJoeXjlADi4xQCzbpLq6GDnOlVyXvX+CX3yGQyCfKjgTru70OsdO5DwwQlvzTLT13mWgZSr9dDgss2yy8t25N3t9lsghu/3W4n5krJT5WZcrkcSmB4/ygNELuSn1qT5XI5KHY+WSkNSvSsV+p/t5GflhGhGJD92mq1QhmVdvU5FjKZTOjzCdGq5XdoCVPEfz/eTH5q+ZXL5VRXh1ofuJHu7++DiyOXy4W6IK7vr+HhkxIQ8ByqSbKAWi+HJDyo4ICwsdIOtVb9eDXIrhmwaaSqbiJN6kFD37fmUO+LcOe5cJvxXPoe+NBIudvtBmH+6dMn63a71mg0QrYqFoy+QwXj13gyXoRyuRxinmoNQW5YzRCZviO11Pr9fqK/ZTb7vRk48//a+vLviutrvFqVLC0VgPSof2y1WmHOaPBOfawenLzN8sBFrIfUqguaedM4IDFurD2SvngelAh16VKypHNEpxi/p3e5PcvlciCVbW5PfuqHBtMoRbS1OzYJkbDHWFWJjG7P08Te5JeWoo8LS8nPa7Ce/O7u7oJvH5eUF+7Ei3RBKol5Aajkp4L8rZYfBIWrVklCifWQa/oYoJ6C7UsLeHbNjNOifm0Q8NrG9YqCWjbaNYbnQkPnHpS2aKr+5eVlID9tqeWLyxU+RgnRadcXBCnuKEoasFqxani/nvwGg0Gi3ELXF+Sxa32lzZkqKcQlcSdqYpK2FNNYrZJfs9lMkJ9P8FClEfLT62t2cKVSsYeHh+AG1xIQHa+SHwkyJPGguKCUsAfX63U4JJdxeEteLT8UYcjPxzF1Tfu1rR4BrMBOp7PnztofmUwmkYmcpnxEnBbebfl58tPAvSc/6pYgP7RVtEyvnZu9rC96zfLzBPWemF+a5YfGv2+c0hP2tjGn1YkpkegxLftuWu7tLSVcZ9p5x1t+CArID0He6/Xs8vLSOp1OsPw0W0/HzLPwEyJiDWlbvOfn52DNcGo98b3BYBAK6KnL0rUFmQ8GgxfC7a3ry5Mrlp+eZUlMVDMfcVer5afuTk8OWlun5MffmS+dJ10/Sn6bzSYRW4cQ9bmw/IbDYWIPQmSQntmPzOe08ge1/EqlUoj5bbP89HtcUy0/nbNut/vq3joUup/8Oo0uz9PEm8gPLVdr/gham/2oOUKwkJ05GAwSGx4hY/Z9czYajbCpzJLnkOmm8T0czZIxrl0xP08sOg79O0JVY3RYS+VyOdFhheum3UvJyysHCG91pepzaEG7T6p4bdMq6aZZyt5FrMTrBTqCTUtctMOPWjBpmr6fD30PqsiQbGFmwR38+PhoNzc3gWT9O2cOyTJk/NyH51qv18Gdpgkmfs68i9qTjc4Xz6F1puyLVqsVTg7XdoDq0t2WZKEKg75jL7CxbIk5LhYLGw6HiXfjLXAsQwhQ+8MyBpQhVWCYM8D9NbloV8xP51eVCpQZbVX4EYfMetL187prH0f8mTiY/FRD5CRpJUCtUzL7UZjNMS9a2K6WEQsRn7wKAKCCWQWIEonvLahQl5u2wFIBomMmUcSTHyUPFCBv2zhp90sjP6yINO1eCRDy88S3bcNuszoRPNoqTedalRy1ZrS5AQI2Lc63TRHQOeFZGB/xPIQRruDlcmmNRiPcyxMbc8j6Quni//36gqC2zV1a3E/fg64vFaTeAsJaphTEk99r1obOl74btTY1MSWX+352XaPRCN4YT1hmP8hP700JCddnj0JiJB358elzs0Zw6/pYoffYsAbVgv5o8uOnVzoi8Z0mDiI/NMD1eh0yAB8fH0OGFhl2ZO+p5mz24+gTs6RLUJMfNEHB31stPx8vUUG1a/wa/4G8fHkE5Iflx0fjZNrRI83iUQGvGZAq8NXyAyrQ9aP38h+vJCg8qfrkIKxKf+20xCZtbI772gty70bUOeHnNpcx60t7na5Wq+Be3ZZQtdlsQucS2nlpnIvnoR9p2vra5aL2BOjHrCVA2uorzfLzBL4L24QyyoKPZ85msxdN57eRH3uTkISu/Wz2e0ML3nPasVFpz03PX8gvjdy990EtP3Wj/iyocqE/I/58HGz5qSBBMFxeXtpkMrHlcpmoRdNkEbRJ2ixpMB+CqFardn5+/qLzixKJbhD9IIR3jZ0NRg0dnS1IENAm0tq1huLparUaLBSsE5IcEDQ6BhW8jBNhot0mFLhcNcOQOkZS673wVjIAWqivLbpGo1GIW/kOHF4zJxs3TTPXFH0/jjQLeNf/c2+dL+0bqdmRnvzMfigMmUwmkRmKgOZnrVZ7sb68RUJiVlrTavUOcH9vHeoxOTyDjv1Y8SV1UWOZ6X7QBLS0MWsyj5nZcDgMdbokOlELp+5ofafqCYIA01y7el9kwGw2s2w2G+aXPadlIz8L+6zPiD8PB1t+LHi0s0wmYxcXF/b09GSZTCbhbrm/vw8BdhUc2gibhUYRqh7g6u/NZkeoQCZaKLxr3JBQrVazXq9nnz59srOzs0TNYCaTCZYdGnGhUHih0Waz35sJt9vtVG3euxDN7MWY04STdsQhMUWL+PctsNeC7dfIzysZuEbNLEF+qnjs02XmUPB+N5sf50jquZFpFhNj9+uL5+CZ8vn8i/XlLT0aG1AGQE0fiodfk578sKhpOM1cpZHBMebK7OX6ek25MrPwHFixKA6QvzYup23ZNvJT9/hqtXrh2lVPB/d9fHy0bPZ7SzE9DiptjiMiPgoHkx8bGBdOoVAIxMeiVwE6Ho/DwtefWFtmP9w4X758CVaiFif7jZ7NZg+2/HCpFYvFQH7/+7//a9VqNRT9FgoFe3h4sMFgEIQ+z6b3UNcrHStItlAXpAoIP+ZthI3LdbPZJAqaVQCnue2AkoHGLRHonvz0OmoBEdsiHsizkjm5T8zxUPD+fLLNazVZ29aXutgLhUJifUGyPr7HKQ7MlTYA8JYf82z24xQFLD8z20p+xyTAtPWl1mbaXDFudfFrRjZnWY5GI+t0OmE9pt1bSZ5wCMSbZvmxp/iJcqFNAyIifgYOJj9+arYXdTqr1Sp0nqCbCeUNqm2rdYOrUWuo9LR3n1Di43ZsdmqW2ITaqBo3LTErCrU/ffoUXJbZbNaWy6WNRiOrVCrB8mGTkq2qZ5dhhVJYrTFMP1dmyWNgtOB2sVgkrF0lIKw3PfqH/qKaqefBNTTBRfufppEoxK3zpzEvbcP2US4iXVs+pkSLObqd6DN4Fyjz7Qv6WV+qyKXFeilrYN59HSbz5eODmhXKfKVZ2MeYJ3UV87yadcr6SrN2Gb9m+fJv2itUn39bhqrKAix2ev4uFotQO+gVDTNLKBva6uzYipWuq33KHKLr88/HQeRn9mMRqcuoXC4HgQjxjcdjGwwGIfiupxForEk7Z+iBrZrRmZZRuW2jcy9APILO+p1OJxDfp0+fQiKF2ff0ejLlON1AswkZC5p2oVAIx9VQm5ZG1vy7HzPjZcxKSkpcKAkkqew6yR2hqEJGyQ+X7raMWP2u2Q/y04/el+8cS6DrGktLJIHMCoXCi2473qrR51blCrcb71EJFGtZm0T7Okg/X2kZujpfGqc9plDVa/lYqVcIGZNXevSZeA6eXy2y1Wr1wpWZRn5a7qHHgem+VyUP8ru/v0+Qn2bS+md961xpkwOUYq1ljIR3WjiY/MyS7s9MJhN6Oubz+ZAZSYyJBBg0bDNLbEAtJFfLj+QKBK1+NAFDLT82u95DyzLok6nkx+8/Pz/bbDZLtGvDfQv5IcQgy3K5bN1uN1hUKlBVSDBnXjhpqyXNXOTjyxLU8tM6Q6+5MkfeevSZqtvcp95C9/WGet+PEOhq+WkJAdYEblAlacBzY/1t8yzwLrxHwpOfloRsIz+9Z9p86T2ORYJpLvZtCiHxeU98ngR5p97yw5LVzjhpioqWQXFqA25ftTLVe+AtPxqkq4Xm7/nW+fIJZ2Y/Eu6OvY4jfn8c1N4MqPsGgc9GoiMIzWpp4kuAG/eRF7Dadms8HpuZhQ21Xq8TMT0VIJqFyMJWItEDeGnRpd31S6VSEHI03W42m7ZYLEISAEJNT3rP5XLWbDZDUgTPqEfCeHcSc+aFFK5abSqtaew8t5ZA7HNyhXfLqQtOx7QNSqBKwLiEP1JjVqGqmZ/aS9QT3bbxs760WwtWisaW+Q5k5UlrF/Remq2L2497HdtCZo1tNpuw/rTXZr1eD7F1tdp3rRnNBNV3Dvl5QtJ3pXV/vC8fitB7PTw82Gg0spubm+DGx63v44bvmbtsNhvIlZKMarUalFI/rxF/Pt5k+ZklF4qmoJMd1ul0Avnpae+kU4PEmn7PAAAgAElEQVS0npOTySQIPdwUaYF7JV+1AKllMrPg8oSQ/dEyJLk8Pj7aZDIJ451Op4maKFxYZhY2i5If7h0SgSAvxqrxwDQNnY4aKAkai0AzVfJD6L9WM+YJ8BBhzvvxgpAiaZ7lGLEsL5A1tuutCQQqJQu7nsGn9UN+pVIptQdsGvntm4GoipyWz/CetTj+2PBKFTHSRqNh8/k8xNh3ZQurFajzxTsn0QlS0ntrHJ7aUH1XvgaXe0F+WPJ4WbRl3jHif7lcLvQNZf8wXn2GSHyngzeTn1ky/oYQxvKbz+fhmBItfke4myVTxT356SnnurmAWn4aaNeT3NMsP/otttvtcKwMmq2S33g8Dn0S9ZxAXH6r1cqazaaNRqPQ+5PYnW8rpWSzzT1FnFPnRgPyZhbq73ZZfp5Etll++xCg3tMn3TDvx3Lj+Wfw1oQKVI1j7UN+3hrb5cpUN2aau3LXvdIsv4eHh0Q7vG3lB2+FT3xJs/w49Z49+hqZb1N4aDgOUfnYtt6fI67wxqD4ejw+PtpoNAqES52l9rE9BjHRAQcCJju2UqmEPenXYMSfjTfH/LZBszB1A2IZqUBX4YQGeH19bbVaLXESNRuJ2IXGCkmU8QXg3jWrdWraHNoXVDPebSfUq2Xgu8AgoNGQfdKIj6WkCV+NG2JFY6XquYlp78ALI3UZ6knbnNy9jyD0mbmMXxMc9iXSXUhzqzMfND9WdxUZua+RiZK/Nn3WomyNL/luJdVq1abTaYjp7rqPX88ocig3uMu1Ldkx4L0wup55Dqwpv5bToM+ga5bxl0qlRJxMP5pZTfyuUqkEZcDfl7XFO+A9ebfnMSw/7WZEAoy2u9uVPR3x5+Gou9BbYkomWHNYNyTAaExpOBza9fV1wiW1Xn9vSOy1cGrgSGTY5tJJS6DQbC8fpFfyG4/H4XfUVavJEVir0+k0Qdo8J64civ01s9XX7WHt4e7FYsWCrlQqqRmwadDsP55NT9rO5/MJYbAN+n5UECI4jkF8aVCBp+THgaTlcjmQ8C54QuJAZQQyrmyNL26712vuSp80w7qoVqthXaT1yTwW0ixlngNryntQ0uDdnqxbjd+lPQOEgtLL/FWr1RBn9YDssJxRUDTb873EZ2YhFMEeg6QhPsoxPsIlHfF74rgqqL20/NIOvPXNh73lh0WiGqqPn0EikF+a5acCFFJWd4paL2jKKjC0M763/HwRuT/tnc2mwtCXdaTV2zF/KA6HWH7+PaT150xrPLwLaYJwNpuFOKXW/B0b6kojYxeBWqlUQmx4F5T81PJrNBovTi9A8UAJUvKjrvO1+/jkKH+vfTr0vBW7LD/tK6q9ZNOwzdpn3re5273lx731GCcP1hD309aHPqv0PcCtqWNE0UVB1CzYiD8fH2L5qbCiFICY0Wq1CqSlHV4IdNNphQ9EiBDGgtOOGrpJSc0moK0xGP0diEcFrLpq/ZE9qhEi5LT4vV6vB03SzKxWq4VNRHxp15iVSLa5aslq9e2jtrlAfaakHjnj+2RuA8+pxD2ZTMI8faTAYB68NaYtzw5J9oH8UFS0YYBZMg6E4NZTv1+bK29lzufzF/f6aPLz3XG2HTD7mtvT10hOJpOgFKRZ+1xT974mvexSHrD69O+sbVVa1VtzaOw0n8+HOP+u9oIRp4OjW37qaiPrUzPfOAqIRaeF5OrG0gJUrQ8i2QGh7FPYfZuktOw7H29Ly5LzR/aowFAXDaeMUxxfqVQS8ZBcLhfGqASo5EfCDYTtXbUQoHaXea1dFpafr5NLO2/tEEGINVOv10Pbq490e6bF/PYlP7OXlh/PoEoQNV/Es9RK5l6vtc9Lu5fGpJX8PgppmcQocr493y74eke1YLX/psbVd1nprzVy9z95DtY1lhp7n8+hc9PpdBIH7iJfIgGeJo5OfmptICDX63UgHVpLqXuIhBAKyXEb+hqfzWYT3FFmljgJXbPrdpFfmuW3S2Boko5Z0r2llh8aLnE5BEE+n08ch7PN8vPJL2mWXxr5vWb5pVkB/ky5XUAx0T6jk8kkuG0/ivx4hjTLjwzZfcgPr4EnvzRrDMUNC8dbfocmvDBfSn7b4mXHQFq5g1rK+zbXVpe+Wn6+v6y/Ny5FjfmxL9TS8t/VEgvmUH9P3ZQop5VK5aC5yWazIZObdxotv9PG0d2eGmuqVqvBstO4HJYRi1yPgiGrbjweh6xJde9lMj+aTPv4m3bVpyRBj/VhE0+n00C6GgdQlxclGhrnoMRALT8SedQ1udlsghtTD071cSEsKp5d68q0LAFSZJxKfNsIzFsBlUolJM0cEvPjOXF7ppGf2fHdnqr06DNoh45DLD+11P1JAihKPlVfC+r3KVD3MV6NBfuDgz8CGtvWtVyr1Q5ydWPte4Xntebqfh9pe7XXYqZ6DbUgz87OQr0wiV/szUPnBkKu1WrWarXCvPjjuSIhngY+JOFFsz0hF5+NqW2gODpINWOOF8INwqbgwFtNKNG4HveBWL3LbjqdvujSjwBlzHR5UUuD60NESn5mPzY+WZ78Xr1eD24aLZPwY/ZF1Wl1ecytt/r2sfzemvCChYsFsE0QfgRUmfK1Y/uc5GGWnu3J+JX8mN808tvnXrtKHSDanxHz0/h1WsLLPtmTh75zX+rAPtIi930UFcaPtY8F2Wq17Pz83LrdrrXb7dA96tC50ZaCuhf2GVvEn4cPIT9cn2YW3Haq8Wr2Iw2jsZb4UPOjcbBCoWCNRsOWy2WCTNisEAlQLRzLT8lP09w12eHp6SmQH5bf4+NjcGFCUNxLz7zDquW66/U6FNNrvFDdsbQLM0v2poT4lKQ14M+4teAYpFkBHMh7CPmpu3CX2/MjLD9NokjrV3moK1KzPdMI6b2Wn75bJb+0nqofgW2W31syfDXJ6RDLj7gpXg8IZx/Lz8d5ISnI7/LyMjSp6Ha7B8+NhhA0hvha/Dziz8TRyY/Fa2aJLivNZjMIGNxonDPnU6AhQk1kodHwer22XC73IgC+rQWaPzoJ8lO3JySCq2W1WoXDPP/66y9brVYhZjEajcKYEHQI1cFgEAhPe4LSB5SYnQpUDxXUaef5pTWk3mb5+bovf9L2W5IfIA9fqvER0GfQ3q37nuFolnR76tmG2kgdElfL5dDzIvVe2vxgPB4nEmy2nQ5xDPh3rqeHHJLwoutalR5fm+rvbfYjeWy9Xr84v/I18tMkrUqlkiC9T58+2efPn8PJLO12++D5UcURtznvOia/nB6OTn5mSXcVf95sNmGxQUKj0chub29Dfz2ABp1Gfs/Pz8ENRn3eNuGkJKparLo9NSsT18hms7FWq2UXFxc2mUxCWyrd8Fq+QHFsJpMJ7kx+EmhXC0aFgd9sCM9sNpsYM3GjfcnGx1/Vcko7bHQbiKdmMpnEyfIIwo+y/PQ5UBJWq1WiM/+h2Z50GCmVSgnrT5Ug7uVPAHjN8uM+ZhbIL5PJJIiWNfMzlAVvLR9ymjxrUN/5rgOV9XrcW92Mvl5219ghP9ok9no9u7y8tM+fP9tff/1lrVYrfA6F5g9oB5l9wggRfx4+xPIjVqdumHw+H7LnOLmh3+9btVrdavmZWSABPcAU14oXTmnkR2wun8+HTUy7Kk14YUNwvt9yubRerxesTcZEnG48HgfyxD25Wq0S1sTT05NVKhX766+/LJPJvLD8tpEfz76v5bftPai7mPIQP1/7CsL1ev3CClAX8LHhBSqk9VbLD1fker22YrGYSkgI32w2+yKt/tB7oahh+XGvj7T8zH7Er/Wdk225b8yPd77ZbIICpm5P3x9WE0V4V+xR3tkutyffV+LG8uv1euHw6S9fvrw54UXvw5/1s49FHPFn4UMsP7OXB22yKVQj9UFx3FOa+gx5YQGNx+Nw2ronBTadbkrVgtVtxkb0GqwmWDSbTbu4uAhxSC1TmE6nL1quKWlx9NFwOAwfM0t0dyFOqGP29XmMG7JUS2uX+1MFHHNQLBbDob6fPn1KCPttDbO9ReObXNNfk/IUFSjHWkOqnGhHHn2fmiykc6LZqBCTxodRVHyrNxShRqNh3W43CGAtV/EZusBnIOv9+B7rNe29vWe+vDLnO75UKpXgwvbvV6HP4A9TZr5IOtP3rWSi99YP1qO/r46bekvKE3zZyaFF7lzf//mY6zXivwtHL3VIE8b607c+05gE5AEBqrBSlxvkhzaKO5ANh2aq8SIlEjLfGK+OmU2lccrNZpMQAnSi0ebbjHW9Xgfyy+fzNhgMwiebzb5IFmGMCAM/ZhI8NGbiyWmXK8ksmYEL+X3+/DnhktaTy32JhVq+xCJVEELWCMJ9LMp91xHXY2782Y18fBmBJ0BNHFISV0JSQQ75NZvNQH6fP3+21WqVSPrRo650Lem9fJMHyE/n6VjC11tRvsWdukGZE09CSogae/cEyF7TDjn83Gw2CZe7viuuywkL/l1DfmR6atb1a+R36Dwee/4j/ntwVPLzxIdw10xIhJdafmwKTfk3e5n8gdAZjUZWLpcTsSe1/HQMavVAutpn0I8ZgcQmpdZQxzAcDq1SqdhisTAzS7g9uQ7kOhwOA/nl8/kXiQPaqkktPy80GAe/tyvuos+jc7DZbBKWn1qsWJVpZ66pApAmCMnmhaDeG9NKS6ZIE+Zq+fE93yZL/4xS5bvsqDWmbruzs7PQpeji4sKGw6Etl0vr9/thTmjKrO9E343ey1t+ZvZuRcFDLS9tkqCW33Q6TWRge6VVCXwX+UGgaSTOHKYpKsyPenk8AWL5Udt3DMtv23zpHPi5iPhzcXTL77W/a0YdBIhmp5mSatlof8nhcGg3Nze22WxsOBzaaDSyyWQSygUQ4mxKrReieJ2m1bqBdPPpGDOZTNBAu91uiFU2m017eHiwTCaTsFQ140+zQK+urqxQKIQxc8CoumoRvtqdQ8dcKpUSc7rvJlVhWKlUrNPp2JcvXxLuHsgaZcNncqa5DYkFqaBD4G5zJb1F0HsrVwU6a8jMEtZ32tyoi4v51npTVV5YOxp7ms1mttlswrrI5XKhsfrDw8OLeKyuXW2/R/yatHsd23vnSucLaAkHykKxWHy13dq2eLR3kWMx6/dQeHWfs56Bd7HrPChxarLORySlpBF3xJ+PD4v5bQOWjbo+2RSqKXvrjww6jj2iETYJLGQe4kLkXnrEinZuwfVpln6QqpJgvV4PB/SOx2O7u7uzZrNps9ks1PspAaqQmE6n1u/37du3b1YoFEK26Ww2C1mduVwuYbn646CazWbinEDG/Jrlp8/EvFcqFet2u+F+qumSqMH1vXDSd6GlI0pGGnPS+x+CXdq3dwsjWIlPad3jrveq5KcZumr906Xo6enJer1eyIBESeM+qrDxrGo9+SOhID9+/73zpfDEx5z5TONisRiUnNfmSp8J5chby2nWuq4L9nmj0UjUQupcbfsuZQn71ilGROyDn0Z+6lbw5MfxJxCcus7YcHScwPLTIDxxPzNLEAkCLI38NOmF+3hhpDG2VqsVsjxxxYxGo5BJSs9Sfl/r//r9fnDX4P5Sy08zzbZZfhQqe8tvV8wP6HxWq1XrdrshHR0SYO7JYmVsKhi9G4wYLBo6glSF4VstPf+MfHxCEDFjxgQxpUGJTZ8b4qO5AklAxWIx4Rrm+yRh4W4nqYX50bH7OkklP21awHs6lmBXEkyz/LQ/7DZ4C2uX5cd1dJ+r9abrmXeliqq/p35XXZ2R/CKOhZ9Cft6doFl7SoCLxSIsclwp3t02Ho+tUCjYfD4PgoviZRJJNJ1ctV4fZ/QNotWl4t04vk8mrtr5fJ5oa2b2MuV9OByG2J62dKPHqO/84YUG8Q7VgPdpbwbUGsMS3mw21m63Q52bxvNoToCQ84rIcrm06XRq9/f39vXr10S8jzlWUlfBeAjU7U3XEY2d4bLzQtG/OxWmpVIpdPb3KfjqLtXvPD8/W71eT7xTTVqioYGPmZpZKK4fj8c2GAzs9vbWqtWqbTYbazab1mw2QzN0dYG+Je0+zfOgMU3vWtz2PiBlmlRXq9XQF3bb0U7ecuSnZudyHWLnuucA40fZpccvLQZ5LxER78VPd3uqEPYWDlaEWkJsaLTt8Xhs6/U6YaHgQlGhCBGluci84NuHSJSQ9LBTyFi/r8F8yE9btvmTJnAfQfi+MJ0xk6ijnTr2EZLM+WazCeRHqzYsFR0PiRxazmGWTH+fTCaB/CDXQqEQshhRLMzeZtH4mK8vUcDVzHxtu4e6fPVcw7SjdpTkeedqzfN7enQWFj4uRNzGYL3+fqIJ88V9M5lMcBliZarXYR+Lftu8efLzNa1qAafdY9v+5EQQdYOmuVn1OhrfR8mdTCbB86IlH36vQ354bjh7MSakRBwDP538zJLn5+nxJ3roJW4ms+RRJwgTBIRuGNXA1YrSOj8lErX8EEJpUMsvTYB64atjJR1+NpslLFkdsy8YVqLVkhB1/xzqAlI3sDYFJ06qDcD1RG3GyHvQWOb9/b2dnZ0lLEpIkEN90+JJh0Ddkyg3quQwXxCVv766sMkg9JYf7z3N8tMPSVK4LdWFjUvTryG1/PRgV67P381eWrCHQveCt/x8T1GdK38/7y3ROWOsqihsQxr5NRoNGw6HiSYPnkxxJc9mMxuPx1ar1YKHhJKaiIj34pdYfkok9Xrd2u12qNmj9RgCRcsf2BhmliA/JRS/GTWjTy2HQ46WUWtMD+mlyJ4sQMasmZI6ZohAx+uz3dIsnW0C7K3z760hhFKn0wktv6irJJtRhRSuv9Fo9KLBtNYAahMDbSOV5nbzcT5131FmQq9MGh1MJpMXbcr8GvDPq6n3xAvTkir4rtmPtlhaK9lutxMJLFh+dJFRpQEXHvOlrdJQkIhFo5j5RtS7CFHjkqxzrYkdDAZhvnC1a21jWsKJxlbT6mT3aQit10g7U9KTvZI32d3+BA7KKyIi3otfZvlpIkq73U60ziIYbmYhjqIbw2fz+aQIoAkHSiSHkp8KPk5H6HQ6iTHj7tPiYI09agxz15h9d5C0GNd74F2gZ2dntlqtwjP5JuAIaq+AkHzE/DB2hNRyubRmsxncqiSP8PvbLBxvzfvTGCC+0WgUWofpKR1emeCZfdwP4ks7c87HfrGON5tNsB7b7XYQ0NTAMW/a2YX1O5vNEgkmSu58F/c371kJYt/5UgueOONgMLDhcGjj8fjFyfJpRKLWclqj730zMH1mLh6TbWdKprk9tRG9j+dHRLwHv4XlByFp30jN8tQYGhtkH3grylt+2zZ+miaM2wzLD5Kg8J7yDLX6INhDSEvdfIz5taSFQ+NDfA/X1nq9Ds9Ef1JKSMx+nF2omZE0bsY9nZYJyP954mMMac/u3diQAzWFaeSn/VQ1RqnP6rNEtUZQa9+8ZapJWmYWLD/GiOWnJ15o/SfJGwpfYqEuXO6nvUR1Tfp581Yy7mHmC/LT+dJ4ZZo3wc+Xbw/om8nvChf4cgeNHb7F8kvrSBMR8Rb8EstPLSnqqNCO6dWp8bHZbJZoI7UvIKBdh9luy1JTQH64CQm+k+7PYbyQAPfeplnvAsJy11lqXF8TGHbhtaw+dec+Pz8nCrfV1Uk/SEiZ59XsUO0GooREktB6vU4Ud/tnV2sdQT6ZTKzf79vt7a3d3d3Z/f299fv94MpjblAOdG54fn2H3pWHFaPCXOdMiVC9FrjsIRPWsZnZcDgMljBzw7XUFY+LWeeu0+nY8/NzaMagRKMKD3OmJAvpjUYj6/f7ifkaDofBTfyaAqiuXt6Xzht/38fyU7cnWaO7LD//LFh+XgGMiHgPfmnCy3q9tkqlEha8P18NAUHSgB5Uuw8gIH8WHZsJi+y1zeSt1VqtFq6N2wsBpMcZ+cy/fcA19ESHjzo5XZ+LQvFMJpOIY2kCAlmgauHyrhBWOtdK1u12O+E+RMD6Z+cD8aH99/t9u7m5SRAgwnw+n79IHtJnVGHu2935ure0eCTQxBnmRUtVID/GgcD2CU54DUj5592qZa3xYa1NTCM/LDi1+IbDYSA/5mswGNh4PA7vdlc3HJ5V58t/fNeVXetLY8v7Wn64bnHVapwyIuK9+GWlDqTBk0KezWYT8SLVijUGeAgQortOct+HSNjEZj+Ikro+1UiVDOfz+ZtqtdTlox1sXjtF+y3gPWDB4QpF0UAQazNrLX/AytGEDpJ+6H7D3EF89OHUNcC8KkngDlTyS7P8cOPtgo9h+TiWxq/0OxpbVvendtpRaxPrDQtuPB4HYkZZUPc+JEW3Hy13UXIgoUhrJnn/6h5W8iPRBfLr9/s2GAyCUrLrXMG0+fLW8j5F8t7yw8tDwwafzONjfrx7b/lF8os4Bn6J5aeaOA2X1+u1dbvd74P6/0JRW0ORXHEIsB79qejq9tzXkvJxkM1mY/V63Xq9XngWtVbn87kNBoODx6yE7Q+zPVbGpz6Tz4Q0M2u1Wvb8/BxcbZp1OR6PU8eMtTKfzxNNCiiIVyut0WhYs9l8cSabkh+lA5PJxG5vb+36+tq+fv1qt7e31u/3gwWzyxXOs6VlLyLUd2VUpv1diQG3vY6btfD4+GjD4TAkQ/lMX3V7UshtZgllbTQaWa/Xs8fHx3DupWaK6rWen5+Dq5P5+vbtm11dXdnd3Z1NJpO9zxNU0lKrz9ezbpsnP//e9bntcF1VgLTcxhPgMRK/IiJ+GfmpS0QzEEkqUdfHcDhMjRG9Bk9+/iR3HyN6bbwq9ND8s9ls6NCBxkpLs7dYfkp+mk36EZYf4zezRO1Zq9WyQqGQcO9CfHd3dy+SghDAm83GZrNZIkGGudDEhfPz84RL1Oxlsgtxx9FoZDc3N3Z1dWVfv34NCRzj8ThkSO6CvjcV6L67z2tQC1DdkJVK5UUtYDabteFwaFdXV1YqlUJnEp7T7IeFr3OgSholHcQMG41GIKG0BhDPz882HA7t/v7ebm5u7Nu3b4H8BoNB6H+7S+FjjF5RUPJTston1ozVry3wtMHErmzP2WxmZhbIj646kfwijoFfavlBKpqFh0WgHR6ur6/fRX5mP05F5+PJb58xp2UOVioVa7fboW8npzggFA+FxtHec5L7PlBXHs8FMdRqtdAAm6zW29vbcNSTgviXau2M+/7+3srlcuIkc8jAuz1V+KGkDIfDYMlcXV3ZeDwO9WpaFpD2bF5p0eQNbW6wT9KQny+IEMLjgzV7dXVl9Xo9cYK6PicfErlI7CGbFRclJSmQBuTKtTROquSH5fft2zebTCYhlPCap8Nba2r9vVbXt+1amvH5/PycsPw8+bGWiDcvl8sXcb9IfhHHwC8hP7OklkncD/i+lhRKU+C6r/WTFrtQ15EX2rjqdHx6LU04UGshk8kkumGkHRp6yJjTxqv1Yb4rjJ/TQ+AtGmJzZt/fjZ5mfn5+bhcXF3Z/f58YA39WoaQxQQQzbdW0S4xChTmxQ9yeWC9pBf9q2WldHL0pOZev1+uFT6vVCsdEaZH+W+bLzEIPy9VqFY7A6vV6NplMAmlRAO8/PDsxY5QCOuUUCgUbj8eJcgxNeOE9DAYD+/btm11fXwdr2/eOZX3xk7ljzrLZrLXb7fC++XS7XWs0GoF8911raQqI7hVi5GQMe9dwJpN5UaOrSUH7umAjIjx+GfmZJQlQBVka+ZGVh6a8b6ZmmtbP5ldhq0SyK4ZB9p0S4Xq93knYvuB9H81bEw10zF5w7uuC2oU04aFuPQrge71eSJzQ96CJHr6GjbjtcDgMAg6rfjQaJcahgk9rP29ubkL8zBdn8w7wHGDVqWVerVat2WzaxcWFXV5e2sXFhbXb7TeRn58viADraL1eh8YNnAEI+Wnjda3jVAWMtYF1jMcD1z9uT36P+dpsNsEtTVyU+dKsTr8ftMwDEux0Ogny48/NZjN069nH+lNFwWeOQn64t+kLq25cAPH5g4e1xjCSXsSh+CXZnj6LzpOKBseVSDjShw1vdhiReMtPrSiEwz4b2j+H9uLU8eop4++1Vn1nENWS37rxfSaj/kSoeMuPeJsWvWuht7ajUxet1gJqAbZCn0lPmbi5uQluQCVVTWbRXqhamE3fWCyxi4uLYPn53qxvmT+1wlifer/FYhHWAe52slhp5oD7UxWHxWIRlJvn5+dEwosnP37ictd2ZpCfH7N2uvEnnEB+ngA/wvKrVCo2mUxenK2pNZ9YftqZRi1/dUNHROyLXxbzS/s3dSf5rhDNZjO0QaOMwLuOPPw1+HAwrKaN7yIT/fs2N6Nv2dZoNMIZgL7n5664C22gaAXFR4+T8ePdNqf7YJeVa/ZjDokBYk2otadZtHxwb2qzcTL4IME0tyc/1aokZqXKjE9iYZ6w5qjhq9VqVq1WrdVq2eXlpfV6vSDImVPNoDxkjvxa0DpALE2K1ev1eshY1I41k8kkxLJQHLgfz57NZm0ymYTn3TYOLenhWhpXNUuuL5RL9gNKQ7fbtcvLyzBfnU7nRWeWQ+J+3vrTJgHaP5Z1xff0HrhBUX6Wy2V4b4eQcUQE+OVuzzQyQcDpCQqtVstarVZC09bC5jT4g2yV/KgzUoH7FmtKkyDU+oP89IDVbDabIIM0oBXreOv1enCh+uSAj9B49XrEzer1unW73ZCIoEcLIcTJUEQoYb1pITya/HQ63ZrEpK48Em7oKKOZllhCnNHX6XSs2WwGNyONlGu1mjWbzQT5qVt634zPXfOVRn6Xl5eWzWat0WgkkjYobsdKpVYxl8sFBQl3McSvgj5tvsws4U5lzjU708xeKIM01NZ+nUp+5+fn1m63rdFoBO9LWhec1+ZH6xTpkQv5qUKLR0bnlX9T4iOerHuY70RE7INfSn7bCCDN8oP81CrQTxq8JZZGfrvGcQhwven9aH2lyR+vEbY2ANYx++NkvOV3DKS5pEm6gLTW63WiEP7h4cFGo5ENh8PgQuQ5Hx8fE2SNdUMK+1ugMR4sFW011ul0EifvSwMAAAauSURBVJaNuj1xeXY6na3p+++ZO09+q9XKisWiTSYTazabgeSIdxJr1KxT4oKsGeok3wpvLdKYG+WMD8RWKpUC+REbJQMbReGtlp+SH+8MjwHPyP5WjwbXwPKDBFEmWXOR+CIOwS+3/Lb9Oxo9Lqter2cPDw9Bq69Wqy+64HuUSiVrtVohe01dOQTvtadjWvbYvmOGsNnUnU7HLi8vbbPZhJiPP7g2DQhqEiYQQt1uN2jovg/lMZAW9zP7YdGu12trNpuWyWRC7RpWBhbfeDy2+/t7u7+/t1arFeoU6X3qM0LfO14lP5JZut1uIDxceqpA1Wq1vU4kOGTO9O+sA9rF5fN5q1ariW5FHG7bbret3W7bcDgMjaephfSxumOBZJxWq2WdTsc6nY612+1EhjIhBuZL46LbGgLsmh/dV2QQo4xo3F977yr5dTqd4M7G87NarRIZopH4Ig7FLyW/bUCwEbNpt9s2nU5ttVoFIoH8dnWsKBaLQcB0u90gICE/YhjHEIRqrUJ+HGCLRk1Hkl1t1TguB/JjzOfn5yHhII2wPwqQH/fBxahWN25PBDrWBDV5k8nkVSv9UHjyU8VGrWbcm/pTmyofcw49+SHoVVHgM51OA/mQpDIYDEIMcD6ffzj5kdCCYuVjgdu6sbxHWVDy+/TpU8IlSss3b+mSmatx+kO6M0VEpOG3JD8zSxy02m63Q1Nrap2U/A6x/LCisPzUlfMeK0rdnpDf09OTZbPZVPLbZfkhnNTya7fbidiMup8+EtwDS9zXpm02m4TrqtVqWbPZtGazGc6RGw6HiWzGY8CT36dPn+zTp092cXFhzWbTWq1WiFOhMGlN20ckShB/yufzgTg0M1ezOel80+l0grXcaDRCv9LpdBpc5ccE66vdbtv5+XlQsBqNRrCWOUVCyx/eqyQw33hCWq1WqNXj+pPJxKrVqk0mk8R3t1l+8XijiPfgtyQ/MsMQbI1Gw1arleVyuRCvQDPetQEKhUKwACBBTXHf1qvwPWMmmN9qtUL9HwkXuLJ2JbzwvMSwSDbYdgzMz4AmWuifeQaEvJklzvDDhftRlp8mvJCaj5JQq9VCHAvLRQnvI+fPz5fWsELA6/Xa6vV6KPFh3WhG80dYfhpPxkKH+JgvPCG7iO8t88c1eNZmsxmScs7OzhKZnwrduxDhMeO1EaeJ35r82CTPz8+Wy+WsXC5bs9m0TqeTOEZoG/kRb8GNg1CESI4ZNyNDFZcsaeYQoR7x81q2J2MmdqXZnup6+hmb3sdtdNxa32b2w0rE7cdzE/M7pqbuU+c1OUhPaNd2ZtvimsfErvki41dLbEiQoZkAccGPivmRBavrS88N3OYSPoZyiFKA5wYFhlCBxkQVGsPVcpZjuGIjThe/JfmZ/Tjzz+w7sbBByDDcp2YOwaJ1X2mHl+rm8QJrX7CRAcTXbDYTwuy1YneKs9PGnHZ+mmbTfRS0o82u36F7R6VSCWUQPLsWLR8D6i6jHEMJTy2DXS7tj5g/5sun4WPxaacVlB3Wth6K+xE9LHV9KeHpSRfH2hMeSn6MhX3Nnub5FWn7Ie2A30iAEYfgtyQ/TYvWv2t3iH1OZOA72qDXt3JKc+W81aXD/fg7BE525GtkbfaD9BnntjG/1wV1yHO9dg99V/wuRyTRyf8jSjOYC6w/VWpeO64o7Rnfg7TMT//vSrJar6olABrH/oh4lm9Y/dp8HctK1u8zBlVeisViIiaq8HtBW/5Ft2fEW5HZ/IbpUghJtRbUxamCYZ/2ZprosCvh4T2byI/Xj3Xf0xgQ5jpW/fxM4tsXac/tn93sOPWUCp5da+W2zdfvME++ocK2+dq3Fd5b8KvWlz67PqNvLJ8Wxti2h3UfH3u8EX8+flvy+1k4ltvrZ41Zx/u71Df9hkvoBX6HeTKzxLv7XfFRa+ujnv132gsR/z34LckvIiIiIiLiI3Gc9iARERERERH/RYjkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcojkFxERERFxcvh/CmRyvgf8hOsAAAAASUVORK5CYII=\" y=\"9.4710625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 23.925 10.551063 \n",
       "L 470.325 10.551063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 23.925 144.471062 \n",
       "L 23.925 10.551063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 23.925 144.471062 \n",
       "L 470.325 144.471062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 470.325 144.471062 \n",
       "L 470.325 10.551063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -4 \n",
       "\" id=\"m3eb7f4913a\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.413\" xlink:href=\"#m3eb7f4913a\" y=\"144.4710625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 4 \n",
       "\" id=\"m867994f089\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.413\" xlink:href=\"#m867994f089\" y=\"10.5510625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(22.23175 156.0695)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"84.933\" xlink:href=\"#m3eb7f4913a\" y=\"144.4710625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"84.933\" xlink:href=\"#m867994f089\" y=\"10.5510625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(78.5705 156.0695)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"144.453\" xlink:href=\"#m3eb7f4913a\" y=\"144.4710625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"144.453\" xlink:href=\"#m867994f089\" y=\"10.5510625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 40 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-34\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(138.0905 156.0695)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-34\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"203.973\" xlink:href=\"#m3eb7f4913a\" y=\"144.4710625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"203.973\" xlink:href=\"#m867994f089\" y=\"10.5510625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 60 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-36\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(197.6105 156.0695)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-36\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"263.493\" xlink:href=\"#m3eb7f4913a\" y=\"144.4710625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"263.493\" xlink:href=\"#m867994f089\" y=\"10.5510625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 80 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "\" id=\"BitstreamVeraSans-Roman-38\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(257.1305 156.0695)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-38\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"323.013\" xlink:href=\"#m3eb7f4913a\" y=\"144.4710625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"323.013\" xlink:href=\"#m867994f089\" y=\"10.5510625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 100 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(313.46925 156.0695)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "       <use x=\"127.24609375\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"382.533\" xlink:href=\"#m3eb7f4913a\" y=\"144.4710625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"382.533\" xlink:href=\"#m867994f089\" y=\"10.5510625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 120 -->\n",
       "      <g transform=\"translate(372.98925 156.0695)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"127.24609375\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"442.053\" xlink:href=\"#m3eb7f4913a\" y=\"144.4710625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"442.053\" xlink:href=\"#m867994f089\" y=\"10.5510625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 140 -->\n",
       "      <g transform=\"translate(432.50925 156.0695)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-34\"/>\n",
       "       <use x=\"127.24609375\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 4 0 \n",
       "\" id=\"mcad24ef5f7\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mcad24ef5f7\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -4 0 \n",
       "\" id=\"mdd7d5b8c40\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#mdd7d5b8c40\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(13.5625 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mcad24ef5f7\" y=\"41.7990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#mdd7d5b8c40\" y=\"41.7990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(7.2 44.5584375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mcad24ef5f7\" y=\"71.5590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#mdd7d5b8c40\" y=\"71.5590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(7.2 74.3184375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mcad24ef5f7\" y=\"101.3190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#mdd7d5b8c40\" y=\"101.3190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 30 -->\n",
       "      <defs>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "\" id=\"BitstreamVeraSans-Roman-33\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 104.0784375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mcad24ef5f7\" y=\"131.0790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"470.325\" xlink:href=\"#mdd7d5b8c40\" y=\"131.0790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 40 -->\n",
       "      <g transform=\"translate(7.2 133.8384375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-34\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pd3050f6e49\">\n",
       "   <rect height=\"133.92\" width=\"446.4\" x=\"23.925\" y=\"10.5510625\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f489e4ea898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "image = create_captcha(\"WOOF\", shear=0.25, scale=1.5)\n",
    "plt.imshow(image, cmap='Greys')\n",
    "plt.savefig(\"/home/robert/data/Dropbox/Books/LearningDataMiningRevision/Chapter 8/Graphics/B06162_08_14.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from skimage.measure import label, regionprops"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from skimage.measure import label, regionprops\n",
    "from skimage.filters import threshold_otsu\n",
    "from skimage.morphology import closing, square"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def segment_image(image):\n",
    "    # label will find subimages of connected non-black pixels\n",
    "    labeled_image = label(image>0.2, connectivity=1, background=0)\n",
    "    subimages = []\n",
    "    # regionprops splits up the subimages\n",
    "    for region in regionprops(labeled_image):\n",
    "        # Extract the subimage\n",
    "        start_x, start_y, end_x, end_y = region.bbox\n",
    "        subimages.append(image[start_x:end_x,start_y:end_y])\n",
    "    if len(subimages) == 0:\n",
    "        # No subimages found, so return the entire image\n",
    "        return [image,]\n",
    "    return subimages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "subimages = segment_image(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(subimages)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"196pt\" version=\"1.1\" viewBox=\"0 0 585 196\" width=\"585pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 196.969188 \n",
       "L 585.388826 196.969188 \n",
       "L 585.388826 0 \n",
       "L 0 0 \n",
       "L 0 196.969188 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 23.925 135.714044 \n",
       "L 145.229348 135.714044 \n",
       "L 145.229348 49.068081 \n",
       "L 23.925 49.068081 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p3e138e45ce)\">\n",
       "    <image height=\"88.0\" id=\"imageae20b47cda\" width=\"122.0\" x=\"23.925\" xlink:href=\"data:image/png;base64,\n",
       "iVBORw0KGgoAAAANSUhEUgAAAHoAAABYCAYAAAA6PePZAAAABHNCSVQICAgIfAhkiAAAG5FJREFUeJztnemS4siShV0Sm9gyqcoyqzfo15zX7ba+ySbEKpgfPV/UkWcIBEVX5ZjdMJPlAkhyP767h0j++OOPi5nZcDi06XRq0+nURqORZVlmnU7HOp2OJUliTet0OoXjeDzabrez/X5v+/3e1uu1rVYrW61WVpalVVVlp9PJqqpqPF9sJUkSjm63a71ez7rdrg0GAxuPxzYajcLP4XBoo9HIer1e4/kul4udz+fw83g8hmO73VpRFLbZbKwoCivL0jabjZVlaafT6a77bkNPp9Oxbrdr3W7X+v1+oMXTk+d57Rzw0vN9t9tZURSB92VZmplZ+pQ7/+/69KvT7XbNzGwwGNhwOLTxeGyTyaSmOWn6jzwghbpUqg6Hg22323BcLpeatF0ul6vW4dri2mmaWpqmlmVZTQsmk4lNp1ObTCY2mUys3+83nutyudS0+nA4hKMsS+t2u5ZlWXj/+XwO2sxnOX5mKU1ZllmWZdbv9wMOSs9oNKp9tqoqOx6Pdjqdanzf7XaWJImdTifbbreBjs5gMDCzH6Z7NpvZ6+ur9ft9GwwG1u/3LcuycDMxoAF5v9/bZrMJR5qmdjwerSxL2263dj6fg9DcyxB+ch+dTsd6vV647y9fvtiXL1/C/XtTp0uBPp/PwdXs93srisLyPLder2edTsfSNLXL5WKn08mSJLGqqsLBuR5Z0OTpyfPcJpOJzWazQM9sNrPJZFL7PHw/Ho81vpdlaWma2ul0srIsbbfbmZkAjVbMZjP7+vWr5XlueZ7bcDgMvhqp0wXIh8PBdrudrdfrcFRVZZvNxpbLpXU6neBXHmWM14Ber2ej0SgA/e3bN/v27Zu9vb190ABdCvL5fLbdbhesznK5tF6vF4Qabd7v98Gfm/2j5Xq+e2lRmtRCKdBvb2+BntlsVjuH8p14aL1eW1EUdj6fbbvdBr6bmXX4heAmz/NaQDAej63f7wdTzvtZava2260Nh0PL89wGg4Ftt1tbLBY1q/Co6VYmYb47nU4w3S8vLwHs79+/f9AAXTGgMXsINpZHAzYzCwGPfv4RrVbB9cKr1vXt7c2+f/9ub29vtc+rFd3tdiFwy/M8COxgMPgB9Hq9/ueX/2MaLxyPR7tcLkGb+/1+OHT1er1gQnq9Xg2IxWIRzODPAo25xTelaWr7/d5Op5Odz+cQwfb7/WCJbp0LEHu9nvX7fTscDiEm4VwIf57nNp/PQxaxWq2ChbrXX+u1OQcWUbMSgI/RAx8Gg4ENBoPA8zRNbbVa2XA4DHw3M+sURRFOCpHcdKfTCdqZpmnQHn9Bbk4vmGWZ/ec//7HhcBiCG4BOkuRuxphZYAzadTgcAqOTJKkx5pbp1gN/dzqdgrATFCnQeZ5bp9MJVgBleESrlSb8f5Zldjweg1sAk8FgEOW7CokCPZ/PPwKNRptZ8Enn89k6nY4NBgObTCZWVVUA2kuWmjAuiC+fTCZP1WgI5Lqq0WZWC2iuaXTsnFVV2fl8tjzPa5Ev50Jgq6qy3W5nq9UqWJhHafH0ELwq0L1eL2RE/hzc8+l0+qBgGlCamXX2+31gEr4py7IQnJVl+cFE6qGawY1yYA36/b71ej07HA4hqEML2mgCGov2sEjtFCjO5++zScBwT3wW34z55nzQVhRF8H8A9IgJ531KkxafoKmJHrN/BOFyuViWZZbnefgs5rzX64XCUUeDDAV6Op2GChGBCuYNjcUf600TtHGob8cHEoHfE8wo2Eizrw5xfzAKWprqAHrf0MG5uR7nulwuVpalvb+/h8AHoAH53uBMfbVZ3RxDi9IFLeoCWVTYlOcomZlZh3Rnv98HRqZpakVR1IDe7/fBJ2rA5RmnF/Rg7/f7YE4eKTioX8PNaOFAGXQ6nYxiUFvN5r3wIMuyIJBmZpvNxqbTaTDpgHw4HMJ7HgnMoMkD7YXXzGoga02CMqrnOZYnaDQLXwHIJOG73S4ADRM8E/WCKl2YElIBBfreQEbfq8xRpvBTizww5hrY0GNmoYih91cURahSDYdDq6oqWCn1tfcstSoxS+XpwdIoLWQcHF6zzcw6GpBoSrXdbmsFfapblDY5uZnVNJsLa4mSyBWge71eLb24ZymRel3Op9qgfhZNvRUMak57uVxCMHQ8HkNQNhqNbDQaBW3e7/fBvGvVrC09MQvJuQD7cDgEviJMfFZdBq9Be/DRvsJzPp8ty7IAKiAr2JykqqpaquRvWqPgPM9tt9uFwAyG3BOF67mvMeZwONjxePxgen1Vr2mpFQDoqqpqII9Go1B+3G63djweH6LH1+99oQYFPBwOlmVZcElewH180Ai0MipJkhrIqtWYXswVzFawff0Wjd5ut6HKhta1ZUysbKjX1ugXxiCMPm++Zbr1Gv1+PwgLGg3ggEygiXm9l54mwfUWCr777MeDrUATp4R6pvoKX62hRMhBEu9TpJhGY7qHw6GVZRk0GjDaAO19ETGAllsRoKZc/RGBIijD9+H3yK23221IY7rd7k/Tg+VTemKNJLN6T51aPMq53W7tcDjU0rPOhzNYHWzME2ADFom970gp2N50U4wgAm8iIsYYhIfzDQYDe3l5sclkEpr0MIhcPZYZ3LtiteiY4Gr17x56fI+B1iTDBoPBIJxbi04AjELqsMF6vbbNZhMCaLMGoM2sljqg2Wg0gYj6BExiDGgYo8WTa9p3i9F5ntf6tePxOGi3Ml197a30qs31Y/S00b5r50STPT0AredWwdWu2m63s81mY+v12pbLZXugvX9QjSanRqNjeaM33fg11WoFRP1SE2O8RlO505GbJo3+2aWChgZCj9KiXa9bK8YjpQegveCqRpPegQtgF0URilx3aTRAY/8BOlZ21AhSCXh9fQ3RsAZhlPCoQGkpUc+rP2GUD/w0j4w1Uh5ZmsZ5093Wn8bOyU9/aK9AafFarcsHYz4oNWuh0Qo0Plpr3zFQfG91MpkE4SD51+skSRImPG6VEj1TPNDKGDTsUbOt14uZboC+10ffoqlJcLFUSovyP1Zdu6nRWnG6Zro9IDF/Op1Oa2kClkA1mAKFCoEC43/XwgyHB/nZww5NplvdxSMxgF7DC2+T4OpSoL1GU/m8qtF+ikGLJtS+kWT1T2rmhsNhzSxrXsu1+Aw+R2/ev08l1xcIFAwPtDLHW4omV6HvbdJotNprtj9n0/La2FSPIHj1Fkpdi5p137tv5aPVbPuSKADrIB0XhSlaZm0qWFwulzBISMrmB/BihREF3DPHp1e3NMGXFn0hSH00AaAGmppVeGFUwK/Roy7xGj0q2N7U67wbPLyZR6PRRHUATVRHN4o2Wix1QLP05nWhyWVZhmqWL696ydeujgKkBY5rvlk1Tv2amdVMaEyj8zy3w+FwFWgdgtTqY0zImgSX6wLktcBNwdYy6lWgubmYRtPVQqsBWlMAgMXcYEoBmpozxDKaulqtgtDEIksNEtswxn/+luDQ1FEa1FSqRh+Px5AGxcBWZse0WV/z3TdvwmP0+AqkBm4xjc7M7H9iQGtg4Zv36i98t0bLht7XKRi6qqoKFmO1WgUtBUTVSr2XXq8XNhxwsK2IPmxsqRadTqeQf87ncyuKotaS5frwQwHwgqavQb8PVtV1xXys0kMB5eXlxcbjcY0GLYHi9hCSoihsPp/b+/u7rdfrf+6niRm+waFA68AfubFqCvNmCjTRKmDhE5MkscPhYO/v72H4rimF0GqQmX0IDL02xJY/1/F4tM1mY4vFwhaLhVVVVQuyRqORJUkS5t5osSZJYtPp9EMGAo/m87klSVJzLU3WhBp5p9MJvQX4qt03XQgfzSVtBRMYqhm/mUerBCJBmCYiZYInQKLZrdKqGknrjJvd7/f2559/hjlkn49qvo3vO5/PIU5oC7QyWmMQgP7rr7+sqqpgksfjcQgquXdahAw/NlUIuVdamOovPY+xFGmaBsHVolRTPYHoXqdJqBDqQGYj0MoMboCbSZIkAOLLeAQiDKpp/1fNOZUwgNFaNQ0PAPfM0UhcNw9w6GSGBi6a87MfjNhjuVza+/u7/f3331ZVVU1LsUQ6swUd7KrQQgWCz87M9Xpd290R6/+jUJ4WP0rkg0sF20+VMFL0oU3ZJP3qz5IkCQV0/HSsUjQcDm2/39d8OWBzg03jRowcUahB2HSCAkK1KBADHWAQGBi23+9rqeJ8Pg8+TacvEWro0fEpDcz8EB/WholRBTrWH/dToJ4mLBa0KB+bqoMfRoluAR2rVhVFEbRE56g5KHmaWYgWYZJG5H5KFKAxx91uN2i9BjYwS9t0yhQEhXiBoFF3fNLWIwh7f3+39/f3D7V75ru5H59VsJnP5810kkajUdjCo1bMVxXVnWihyguuWkgVOl9J0yHBq0B7rdZmA/nl8Xj8sHl7MpmExrfXZC1ekJOqRtPU3263IZjQKhP3ghvxpT6v0Zq3azmXNHG1WtlisahptE5o4IfxmzBNgVb61CzjDkajUXgIgN6XL5rg05toYYIWeqBNYx8dkFC+3gRaAfdRIoSpZmiOvd1uP6REHnAtWeruCHwtfhLCVdN8VO61QYfpyM2pCQD0crkM0fZyuQy7L1QjlB6AVhOKCWemDIEiRRqPx+FpCdwX9xyrcyPEfl4MetI0rQm7WjoN2uBrmBlrC7RKK76TnQt6UD1jE3asYAKz1LegzZhJpFijUk1fVGB8dQut0JFd1WhM92q1svl8bsvlMjTsL5dLzaVouZeUUWlRq4PVq6rqQ69c3QrvieXTym8vvEpPLP3k0ArhXUCr1vjgDIBjGu13ZfiCQ5NG63NQNJ3ytXLPGK/ROpcd02hM92KxCDskzawGtNJDnq8ppTZOlEbV6KIogoCR98I/FXp1bTGN1uFAn37qYfagRnvAVbsAxHe3KI9i1mJ5pgKtG8BVoChJ+no1EXFsUkWbFNynCmhsmIKc3MxqLVn/OnVsL7BoT1VVtVl2NJr5MgJMrf/r1mSNTdBa+O3pYan/9/l3iInuBToGvI8UYRBRtEbOPlqEwPF4bLPZLDyawefoEM9nkyQJAaAOAHihiJVh1TSqydd8VjfHI8DD4TAMRsboUV/rNy/4hgcbDJIkCf/3NXNf3VJ6vB+nhMyTlNgrd7Op0XZ5/6cNENIuP43CDasmjEYjm81mNQboe9Ss8TvRPgB4xngr4DVDQdYhCD9VAxPRzhg9CjYCrBOwAI2gaAVQ45PY/FuMHlUwVS6AVs1+CtD47hjQo9Go1hxQc6MgotHaJvQRqUaZaA2D9DBGTbgH2YOt2uyrWrHxKa2rKz0ebK/ROuqsrgagdThQK4Reo72VigWY+qAg3f36FKBJf3w0S+ODgADJ1SK9Rq4QS+WKEqBGmNTWYa6W+fwOTj9l0lQ98j7eN0+0VOq7WjELpSkXzyLR+jX1Ba1vqwD4w9PkXZNaKXVBGsQ9FWgfzeoDbmiCDIfDWkHCMybP81rFC7Oj2q05dhNjYkGNNul95cgzUKNdvwPCa7Qub6UYyNfGCxOwWijRSVIvuHqvOliggtaUjnH/TwNat4QURfEBZHyND/29+eI1rTd7RsLs3W73QStV+v0mAQ3uvLao5l/TaCp+sY6VxhR08NBoX8pUcNQyXQP5lkb7oBIr+1SgkSBNIbzm0IMGTMy2vtfsxyMkmgIeOkdVVUXHaJRJXqM9yETFPoiDJlqoqtHq+3yNQIHGdPtyph8x8nRAi9auYwIZi0PgldfspwGN9Hc6HdtsNoG5OqZKAAHQ2mIDBICmzakRsgJ+Op1CzusZrMxRpijQmvbEAjkt9frBSO2Ba2fMp40EYrF5MAWKB9Vp7foaPSq4aql80QVcng60ttH4v3Z6tO6NKWdaQ5lEXTrWzqORwsSLj8LVijAgwLU90zzQmoNrOVMjWtVq2pacE2HmesQcynQAVXpJhXwTJga0nt/Xx/U1+E+s8VSgzeqPc2LAT29EJb3f79cmWBAKzmlWr2Vzbh5DyfBCE2NwBSzN2b1Gq7vh+jAqlmIRfWsblc9yLwCDpfLtTxZWECFu0mhPj9d+1XCwwJI8BWgf8ekeYR1mR8OZ2GAeSwcJPCiYWYDBPcAUbRT4UaLYOVXjdZ+zN93aL9aW6XA4tPf3d5tMJmEYAWGN5cgIKBG4TxUR7qqqrCzL0IyBtlgpU4FuS89TgebiPnWgAHE6nWrD76QeOip0jQjAhoH4T41odRDPL99AadJo7p+Aiy4caRB7lxn59c0an86ZWXhoAHTpvZzPZyvLMqSOfpSoaWbMd/5Qnqby6VOA1pREoz4CmrIs7XA4hLGc6XRqLy8vdjgcosAoI2gSQIxqtD5++dZwoAZ86qN1alJNN9aJvjppkJZcteCjaZX6YP0dIdMBASZgkyT5MHTQdgoUq8HGgruGA+9ZKtVqyjUiN7OwG5/9u5i+pt6s+ieeE+LzyVjTArMbM3dtIlYVXJ2UWa/XtlgsgmmE2bqJQR/5wesKDILK66vVKnw1hA9cPU2cp4kmjVX076cBzQ3xUwk1+/HcTooP2m+m+O5vLBaQILVsgk/TtLZhXNM47S7p/3QwQS2Bdz8scmoi5NVqVQMFrfJmNBYhq0Uh9aIxw5Ma1WJAjw4qcCDMvhKmBR0zez7QCrJnVJZlNYD1d22q6/CbpmNa5MDHT6dTy7KsBrTPgyGSkmFTiVB9rS9GqLXZbre2Wq1Caqc+X++NaRDNe1VbqfkDNLsxNptNCPS0cwXQ3ur4qRrfj1Y+PhVowFbtTpIkBGKA7H0rKQCg+NShjUbDGITLE+orRsqYWxrt++mkLn5UmQlYUi8A9pG2TouqRm82m9Bf16cscQ/qBtS9eHr+lcGDW6B7hvm0CO1Wn+bNt4Kt36FBFOzNHdcDFO9ztaypLT3fW9Z7N7MQnJnZhx0dgEXTX4sfKjxeeJmseX19tePxGCZpx+NxCD6xUjF6fD+aXF+tlNm/DLRZfCOAAq3f7IKfUw3Q/5/P5/AEha9fv4beLZMZCjTMQGj02r6sCdCxbpRW5VgwWL+OYjwe28vLS+0LSwDUlz3VtyOsX758scvlUqNJgz58stbjtUxL95Ayrc9o/nWgzT5uD8U/anCmqULTJIrZj2/z4fN+A4CmSGgAf3Ntvw2YrzjwnShlsAoqlkhB9o+9TtM05Mk+3dPoezAYhDEq/DdHnucB6Fg52Fsouof6QDnWLwEaRseG89BofLBKLUxXoPVbAXQyEu1gyIHPxmq/CrbfjembKL6lCPN4OoNOdeggoQ4LaotWrZQCTRlVG0Fa+FB+aDAWA1sHJJ42SnTP8n5SmU3UqtGl+jmiXPq8FE20refbjj4v9cGLxgiamui2mZjpVnpiwsMELPR466Lmm3bm+XyutSd5LfbUI9VwPyThM5qn1brbrlgAoUAzLXqtoY9pM7PQ5dICgU6aaNFAo9QYY3wGoBMuWqy4lx52bnjzrRYLoNP0n5EirSeotSLVigmu7gLxaevT2pRtV8zUKGNo0qvpVMYAFgEXZl6jWZ+7qun2wFwDWkuPTdpsdn0Clt0Zvt3KvfrgDDPP66r1ftgg5o60JOzBNvvFppub8vNlFDxiWuCjcC2q+K5OrF0XK636qRRN6bQG0AQwiwBPe9bsoiTHRlurqgq7JmJZBfcfoycGMue5RQ/rl2t0bKOb7qTEX3mNVi1VDYdgfsZA5nctqWpD34/UKtjXlgquTsBS8EBwid65Dy2fKiBNwtkWZHVdXmh+O9DaXmNOm6W+ykt1DARlkP+/B1qZEpudvgWyWV2jicCZgNUtOVrRIihjkECLQv6aTfTo51RwifRjWv1LgcY/AvR6va7VsNEACNYmRyxlumd5pvhxX1zEPSu2Q5MIWYVXaVAzHetWtV2+8KJ9+9hWnt+i0WiAb+9xowQw6p/UNz+yOIdOrcQGD3zJ8hY9FFCUnizLanuteL/ZD4F9Jj1+POpf60e3WZrzUSDRzo7OggOyBhcw7NGl6UpsONCnZG2Wmm7OrWkgVkODLgCgCvjo0tKwHyXy339t9puibrMfIzdEzuoz+Vt3XcRGju5ZauZi477a5mzrHrRXrf6XaRTN6QEEodJnpD6yvEar6/tXRonaLs1jzSzMRZvVx3y0bOe7PD6dumclSVKT/lumu83SPDZN09DZItgi2qYQBD2Y9qb5tjbLC65u6Putptus/pwwfQ4Kko1Zhynag772xd9tlg9crpnuthqtwusrcGmaBv+N1usEymQyearp/nQarYUILeHRJOBrjjFvDBnocMIjK2a6YQzuITaHdm2hkZfLJbQF0XB2kxRFEfZDM/Y7Go3s9fX1pzRaTff5fK4NB/52H+1LgR5oUhQ6OtPp1F5fX2uNdCXUr2sAab4ay6W11Ng2IPPC64He7/e22WwsTdMaPbPZLJRHm4b+2tDTVASKVch+OdBq3vyizh0bItTZMl8rbnttBUPnrXSQLgb2rXKonpvFxAqbAJpooq36M/QoTdoY0rT0lwLNDfLTtwHR8CbGwDwtOpi1K6IoU9SSxIDWEqWa52v0aIPFC5XS4hsOtFo5oKctLz3Ifl/5bwOapSZLpzaTJKkNJMQ6MXwuVuq8tpoYE9NoNXttfGmTWyIa16GAWL9Ya/T30NJkoahF/HagWaopTFrGerwMvtEFgqlNnR2/Ys15zq1jN+oW/LBAmyjZa3jTcAA0sRtFO1ttzHis3aoTM7qB0ewTAG320Sz6QT5tgvhnoLQNnnQKxAuPZ8y1rtEjdDXRw1OS1bqpkN0C2o8QQZMOO34qoM0+PjQ99gyRzWYT3u8bBW2A9pIfA1rP/wyQY5MoSo/XZN+DvkZPk+DGplo/DdC6Yo9VoterESW7QNQXNS0/+amHmu9rM2KPLoDWpxUypMA4MMtPlDxCj/+2QbNPDDTD8vpwVgoCHIz3asTatJQRy+UyPLZ5Pp/bYrGw9XodtEEnKGPjuvcuauI81J7NegxZEJTxFAUdh2pa8IbnsDbRQ1n2UwINY/Sbc/TxjBx8p5ZPTfzkiZnVHjXNs7RhznK5rD1a0e9N/lkN1y6Xp4fXMMU6MaJNHzOr0YUmQ5fSA9BsTjD7pEB7jda9VTAFU6jjsdeWfol2DOj1el176tC1Tej3rphGU1/nNXy40nNNoykXQ1cM6E+v0TpytNlsaltI/UNlHzHdq9UqPJR9tVpF92uryX6m6dbJmjRNa/9n7KiN6aaOjlbzcHm1ThSZzD4p0Bq88DWGBF/6fRj9fr91MEZEyq4K1XD/NFw12c9YjFFhpdbrdcjRMefsCm0bjOmcGvSoe/L1gU8LNJIOwQQtmHI6NG3zaP8EQN1Go0A3Pf7xZ+lBcLWdSccOengsRhvB9amVpweg6f9/WqB1kFAb+Jhu3T/cJufVPdkK+LW9V89aWhtQofT0AHSbgokf2FeafEBpZnb/15f/d/2/XP8LazbNx2/4f18AAAAASUVORK5CYII=\" y=\"47.7140438665\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 23.925 49.068081 \n",
       "L 145.229348 49.068081 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 23.925 135.714044 \n",
       "L 23.925 49.068081 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 23.925 135.714044 \n",
       "L 145.229348 135.714044 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 145.229348 135.714044 \n",
       "L 145.229348 49.068081 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -4 \n",
       "\" id=\"m2a7671d25a\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.6579192547\" xlink:href=\"#m2a7671d25a\" y=\"135.714043866\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 4 \n",
       "\" id=\"m48df140c16\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.6579192547\" xlink:href=\"#m48df140c16\" y=\"49.0680811335\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(22.4766692547 147.312481366)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"42.9871118012\" xlink:href=\"#m2a7671d25a\" y=\"135.714043866\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"42.9871118012\" xlink:href=\"#m48df140c16\" y=\"49.0680811335\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(39.8058618012 147.312481366)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"60.3163043478\" xlink:href=\"#m2a7671d25a\" y=\"135.714043866\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"60.3163043478\" xlink:href=\"#m48df140c16\" y=\"49.0680811335\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(53.9538043478 147.312481366)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"77.6454968944\" xlink:href=\"#m2a7671d25a\" y=\"135.714043866\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"77.6454968944\" xlink:href=\"#m48df140c16\" y=\"49.0680811335\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(71.2829968944 147.312481366)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"94.974689441\" xlink:href=\"#m2a7671d25a\" y=\"135.714043866\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"94.974689441\" xlink:href=\"#m48df140c16\" y=\"49.0680811335\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(88.612189441 147.312481366)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"112.303881988\" xlink:href=\"#m2a7671d25a\" y=\"135.714043866\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"112.303881988\" xlink:href=\"#m48df140c16\" y=\"49.0680811335\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(105.941381988 147.312481366)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"129.633074534\" xlink:href=\"#m2a7671d25a\" y=\"135.714043866\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"129.633074534\" xlink:href=\"#m48df140c16\" y=\"49.0680811335\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 30 -->\n",
       "      <defs>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "\" id=\"BitstreamVeraSans-Roman-33\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(123.270574534 147.312481366)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 4 0 \n",
       "\" id=\"m310d8d17ca\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m310d8d17ca\" y=\"50.8010003882\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -4 0 \n",
       "\" id=\"m53a5dda310\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m53a5dda310\" y=\"50.8010003882\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(13.5625 53.5603753882)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m310d8d17ca\" y=\"68.1301929348\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m53a5dda310\" y=\"68.1301929348\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(13.5625 70.8895679348)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m310d8d17ca\" y=\"85.4593854814\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m53a5dda310\" y=\"85.4593854814\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(7.2 88.2187604814)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m310d8d17ca\" y=\"102.788578028\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m53a5dda310\" y=\"102.788578028\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(7.2 105.547953028)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m310d8d17ca\" y=\"120.117770575\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m53a5dda310\" y=\"120.117770575\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(7.2 122.877145575)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 169.490217 150.71046 \n",
       "L 290.794565 150.71046 \n",
       "L 290.794565 34.071665 \n",
       "L 169.490217 34.071665 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p90a6421f30)\">\n",
       "    <image height=\"118.0\" id=\"imaged7a206f89a\" width=\"123.0\" x=\"169.490217391\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"32.7104604933\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 169.490217 34.071665 \n",
       "L 290.794565 34.071665 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 169.490217 150.71046 \n",
       "L 169.490217 34.071665 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 169.490217 150.71046 \n",
       "L 290.794565 150.71046 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 290.794565 150.71046 \n",
       "L 290.794565 34.071665 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"171.822993311\" xlink:href=\"#m2a7671d25a\" y=\"150.710460493\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"171.822993311\" xlink:href=\"#m48df140c16\" y=\"34.0716645067\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(168.641743311 162.308897993)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"195.150752508\" xlink:href=\"#m2a7671d25a\" y=\"150.710460493\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"195.150752508\" xlink:href=\"#m48df140c16\" y=\"34.0716645067\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(191.969502508 162.308897993)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"218.478511706\" xlink:href=\"#m2a7671d25a\" y=\"150.710460493\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"218.478511706\" xlink:href=\"#m48df140c16\" y=\"34.0716645067\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(212.116011706 162.308897993)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"241.806270903\" xlink:href=\"#m2a7671d25a\" y=\"150.710460493\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"241.806270903\" xlink:href=\"#m48df140c16\" y=\"34.0716645067\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(235.443770903 162.308897993)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"265.1340301\" xlink:href=\"#m2a7671d25a\" y=\"150.710460493\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"265.1340301\" xlink:href=\"#m48df140c16\" y=\"34.0716645067\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(258.7715301 162.308897993)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"288.461789298\" xlink:href=\"#m2a7671d25a\" y=\"150.710460493\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"288.461789298\" xlink:href=\"#m48df140c16\" y=\"34.0716645067\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(282.099289298 162.308897993)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m310d8d17ca\" y=\"36.4044404264\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m53a5dda310\" y=\"36.4044404264\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(159.127717391 39.1638154264)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m310d8d17ca\" y=\"59.7321996237\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m53a5dda310\" y=\"59.7321996237\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(159.127717391 62.4915746237)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m310d8d17ca\" y=\"83.0599588211\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m53a5dda310\" y=\"83.0599588211\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(152.765217391 85.8193338211)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m310d8d17ca\" y=\"106.387718018\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m53a5dda310\" y=\"106.387718018\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_22\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(152.765217391 109.147093018)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m310d8d17ca\" y=\"129.715477216\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_46\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m53a5dda310\" y=\"129.715477216\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_23\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(152.765217391 132.474852216)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_3\">\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 315.055435 153.043236 \n",
       "L 436.359783 153.043236 \n",
       "L 436.359783 31.738889 \n",
       "L 315.055435 31.738889 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p912793632a)\">\n",
       "    <image height=\"122.0\" id=\"image487708320c\" width=\"122.0\" x=\"315.055434783\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"31.043236413\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path d=\"M 315.055435 31.738889 \n",
       "L 436.359783 31.738889 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path d=\"M 315.055435 153.043236 \n",
       "L 315.055435 31.738889 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 315.055435 153.043236 \n",
       "L 436.359783 153.043236 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 436.359783 153.043236 \n",
       "L 436.359783 31.738889 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_5\">\n",
       "    <g id=\"xtick_14\">\n",
       "     <g id=\"line2d_47\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"317.481521739\" xlink:href=\"#m2a7671d25a\" y=\"153.043236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_48\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"317.481521739\" xlink:href=\"#m48df140c16\" y=\"31.738888587\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_24\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(314.300271739 164.641673913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_15\">\n",
       "     <g id=\"line2d_49\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"341.742391304\" xlink:href=\"#m2a7671d25a\" y=\"153.043236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_50\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"341.742391304\" xlink:href=\"#m48df140c16\" y=\"31.738888587\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_25\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(338.561141304 164.641673913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_16\">\n",
       "     <g id=\"line2d_51\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"366.00326087\" xlink:href=\"#m2a7671d25a\" y=\"153.043236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_52\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"366.00326087\" xlink:href=\"#m48df140c16\" y=\"31.738888587\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_26\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(359.64076087 164.641673913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_17\">\n",
       "     <g id=\"line2d_53\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"390.264130435\" xlink:href=\"#m2a7671d25a\" y=\"153.043236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_54\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"390.264130435\" xlink:href=\"#m48df140c16\" y=\"31.738888587\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_27\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(383.901630435 164.641673913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_18\">\n",
       "     <g id=\"line2d_55\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"414.525\" xlink:href=\"#m2a7671d25a\" y=\"153.043236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_56\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"414.525\" xlink:href=\"#m48df140c16\" y=\"31.738888587\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_28\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(408.1625 164.641673913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_6\">\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_57\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m310d8d17ca\" y=\"34.1649755435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_58\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m53a5dda310\" y=\"34.1649755435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_29\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(304.692934783 36.9243505435)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_59\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m310d8d17ca\" y=\"58.4258451087\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_60\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m53a5dda310\" y=\"58.4258451087\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_30\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(304.692934783 61.1852201087)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_61\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m310d8d17ca\" y=\"82.6867146739\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_62\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m53a5dda310\" y=\"82.6867146739\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_31\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(298.330434783 85.4460896739)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_63\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m310d8d17ca\" y=\"106.947584239\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_64\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m53a5dda310\" y=\"106.947584239\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_32\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(298.330434783 109.706959239)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_15\">\n",
       "     <g id=\"line2d_65\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m310d8d17ca\" y=\"131.208453804\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_66\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m53a5dda310\" y=\"131.208453804\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_33\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(298.330434783 133.967828804)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_4\">\n",
       "   <g id=\"patch_17\">\n",
       "    <path d=\"M 464.356826 176.091062 \n",
       "L 578.188826 176.091062 \n",
       "L 578.188826 8.691062 \n",
       "L 464.356826 8.691062 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p032e36717f)\">\n",
       "    <image height=\"168.0\" id=\"image42eb882e1b\" width=\"115.0\" x=\"464.356826087\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.0910625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_18\">\n",
       "    <path d=\"M 464.356826 8.691062 \n",
       "L 578.188826 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_19\">\n",
       "    <path d=\"M 464.356826 176.091063 \n",
       "L 464.356826 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_20\">\n",
       "    <path d=\"M 464.356826 176.091062 \n",
       "L 578.188826 176.091062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_21\">\n",
       "    <path d=\"M 578.188826 176.091063 \n",
       "L 578.188826 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_7\">\n",
       "    <g id=\"xtick_19\">\n",
       "     <g id=\"line2d_67\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"467.704826087\" xlink:href=\"#m2a7671d25a\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_68\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"467.704826087\" xlink:href=\"#m48df140c16\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_34\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(464.523576087 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_20\">\n",
       "     <g id=\"line2d_69\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"501.184826087\" xlink:href=\"#m2a7671d25a\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_70\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"501.184826087\" xlink:href=\"#m48df140c16\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_35\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(498.003576087 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_21\">\n",
       "     <g id=\"line2d_71\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"534.664826087\" xlink:href=\"#m2a7671d25a\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_72\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"534.664826087\" xlink:href=\"#m48df140c16\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_36\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(528.302326087 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_22\">\n",
       "     <g id=\"line2d_73\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"568.144826087\" xlink:href=\"#m2a7671d25a\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_74\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"568.144826087\" xlink:href=\"#m48df140c16\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_37\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(561.782326087 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_8\">\n",
       "    <g id=\"ytick_16\">\n",
       "     <g id=\"line2d_75\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"464.356826087\" xlink:href=\"#m310d8d17ca\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_76\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"578.188826087\" xlink:href=\"#m53a5dda310\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_38\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(453.994326087 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_17\">\n",
       "     <g id=\"line2d_77\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"464.356826087\" xlink:href=\"#m310d8d17ca\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_78\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"578.188826087\" xlink:href=\"#m53a5dda310\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_39\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(453.994326087 48.2784375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_18\">\n",
       "     <g id=\"line2d_79\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"464.356826087\" xlink:href=\"#m310d8d17ca\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_80\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"578.188826087\" xlink:href=\"#m53a5dda310\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_40\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(447.631826087 81.7584375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_19\">\n",
       "     <g id=\"line2d_81\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"464.356826087\" xlink:href=\"#m310d8d17ca\" y=\"112.4790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_82\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"578.188826087\" xlink:href=\"#m53a5dda310\" y=\"112.4790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_41\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(447.631826087 115.2384375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_20\">\n",
       "     <g id=\"line2d_83\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"464.356826087\" xlink:href=\"#m310d8d17ca\" y=\"145.9590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_84\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"578.188826087\" xlink:href=\"#m53a5dda310\" y=\"145.9590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_42\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(447.631826087 148.7184375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p912793632a\">\n",
       "   <rect height=\"121.304347826\" width=\"121.304347826\" x=\"315.055434783\" y=\"31.738888587\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p032e36717f\">\n",
       "   <rect height=\"167.4\" width=\"113.832\" x=\"464.356826087\" y=\"8.6910625\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p3e138e45ce\">\n",
       "   <rect height=\"86.6459627329\" width=\"121.304347826\" x=\"23.925\" y=\"49.0680811335\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p90a6421f30\">\n",
       "   <rect height=\"116.638795987\" width=\"121.304347826\" x=\"169.490217391\" y=\"34.0716645067\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f489cc7f438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, axes = plt.subplots(1, len(subimages), figsize=(10, 3)) \n",
    "for i in range(len(subimages)): \n",
    "    axes[i].imshow(subimages[i], cmap=\"gray\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plt.subplots?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"196pt\" version=\"1.1\" viewBox=\"0 0 589 196\" width=\"589pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 196.969188 \n",
       "L 589.125 196.969188 \n",
       "L 589.125 0 \n",
       "L 0 0 \n",
       "L 0 196.969188 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 23.925 176.091062 \n",
       "L 145.229348 176.091062 \n",
       "L 145.229348 8.691062 \n",
       "L 23.925 8.691062 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p19047b0291)\">\n",
       "    <image height=\"168.0\" id=\"imagec783e47233\" width=\"122.0\" x=\"23.925\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.0910625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 23.925 8.691062 \n",
       "L 145.229348 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 23.925 176.091063 \n",
       "L 23.925 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 23.925 176.091062 \n",
       "L 145.229348 176.091062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 145.229348 176.091063 \n",
       "L 145.229348 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -4 \n",
       "\" id=\"mcaf95399b9\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"37.705173913\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 4 \n",
       "\" id=\"mf44ed9fd71\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"37.705173913\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(31.342673913 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"71.185173913\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"71.185173913\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 15 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(64.822673913 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"104.665173913\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"104.665173913\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(98.302673913 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"138.145173913\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"138.145173913\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(131.782673913 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 4 0 \n",
       "\" id=\"m9f501a63ea\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m9f501a63ea\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -4 0 \n",
       "\" id=\"m65f161280f\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m65f161280f\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(13.5625 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m9f501a63ea\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m65f161280f\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(13.5625 48.2784375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m9f501a63ea\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m65f161280f\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(7.2 81.7584375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m9f501a63ea\" y=\"112.4790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m65f161280f\" y=\"112.4790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(7.2 115.2384375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m9f501a63ea\" y=\"145.9590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m65f161280f\" y=\"145.9590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(7.2 148.7184375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 169.490217 176.091062 \n",
       "L 290.794565 176.091062 \n",
       "L 290.794565 8.691062 \n",
       "L 169.490217 8.691062 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pef06493ae6)\">\n",
       "    <image height=\"168.0\" id=\"imagef5615e63aa\" width=\"123.0\" x=\"169.490217391\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.0910625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 169.490217 8.691062 \n",
       "L 290.794565 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 169.490217 176.091063 \n",
       "L 169.490217 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 169.490217 176.091062 \n",
       "L 290.794565 176.091062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 290.794565 176.091063 \n",
       "L 290.794565 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"179.922391304\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"179.922391304\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(176.741141304 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"213.402391304\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"213.402391304\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(207.039891304 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"246.882391304\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"246.882391304\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(240.519891304 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"280.362391304\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"280.362391304\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(273.999891304 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m9f501a63ea\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m65f161280f\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m9f501a63ea\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m65f161280f\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m9f501a63ea\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m65f161280f\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m9f501a63ea\" y=\"112.4790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m65f161280f\" y=\"112.4790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m9f501a63ea\" y=\"145.9590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m65f161280f\" y=\"145.9590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_3\">\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 315.055435 176.091062 \n",
       "L 436.359783 176.091062 \n",
       "L 436.359783 8.691062 \n",
       "L 315.055435 8.691062 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p427543a8c6)\">\n",
       "    <image height=\"168.0\" id=\"image988650c43c\" width=\"122.0\" x=\"315.055434783\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.0910625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path d=\"M 315.055435 8.691062 \n",
       "L 436.359783 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path d=\"M 315.055435 176.091063 \n",
       "L 315.055435 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 315.055435 176.091062 \n",
       "L 436.359783 176.091062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 436.359783 176.091063 \n",
       "L 436.359783 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_5\">\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"328.835608696\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"328.835608696\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(325.654358696 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"362.315608696\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"362.315608696\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(355.953108696 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"395.795608696\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"395.795608696\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(389.433108696 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"429.275608696\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"429.275608696\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(422.913108696 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_6\">\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m9f501a63ea\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_46\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m65f161280f\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_47\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m9f501a63ea\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_48\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m65f161280f\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_49\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m9f501a63ea\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_50\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m65f161280f\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_51\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m9f501a63ea\" y=\"112.4790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_52\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m65f161280f\" y=\"112.4790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_15\">\n",
       "     <g id=\"line2d_53\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m9f501a63ea\" y=\"145.9590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_54\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m65f161280f\" y=\"145.9590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_4\">\n",
       "   <g id=\"patch_17\">\n",
       "    <path d=\"M 460.620652 176.091062 \n",
       "L 581.925 176.091062 \n",
       "L 581.925 8.691062 \n",
       "L 460.620652 8.691062 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p681a227a57)\">\n",
       "    <image height=\"168.0\" id=\"image8d4d5b2c4a\" width=\"122.0\" x=\"460.620652174\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.0910625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_18\">\n",
       "    <path d=\"M 460.620652 8.691062 \n",
       "L 581.925 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_19\">\n",
       "    <path d=\"M 460.620652 176.091063 \n",
       "L 460.620652 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_20\">\n",
       "    <path d=\"M 460.620652 176.091062 \n",
       "L 581.925 176.091062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_21\">\n",
       "    <path d=\"M 581.925 176.091063 \n",
       "L 581.925 8.691062 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_7\">\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_55\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"467.704826087\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_56\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"467.704826087\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(464.523576087 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_14\">\n",
       "     <g id=\"line2d_57\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"501.184826087\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_58\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"501.184826087\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(498.003576087 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_15\">\n",
       "     <g id=\"line2d_59\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"534.664826087\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_60\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"534.664826087\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(528.302326087 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_16\">\n",
       "     <g id=\"line2d_61\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"568.144826087\" xlink:href=\"#mcaf95399b9\" y=\"176.0910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_62\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"568.144826087\" xlink:href=\"#mf44ed9fd71\" y=\"8.6910625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(561.782326087 187.6895)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_8\">\n",
       "    <g id=\"ytick_16\">\n",
       "     <g id=\"line2d_63\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m9f501a63ea\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_64\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m65f161280f\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_17\">\n",
       "     <g id=\"line2d_65\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m9f501a63ea\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_66\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m65f161280f\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_18\">\n",
       "     <g id=\"line2d_67\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m9f501a63ea\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_68\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m65f161280f\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_19\">\n",
       "     <g id=\"line2d_69\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m9f501a63ea\" y=\"112.4790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_70\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m65f161280f\" y=\"112.4790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_20\">\n",
       "     <g id=\"line2d_71\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m9f501a63ea\" y=\"145.9590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_72\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m65f161280f\" y=\"145.9590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p19047b0291\">\n",
       "   <rect height=\"167.4\" width=\"121.304347826\" x=\"23.925\" y=\"8.6910625\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p427543a8c6\">\n",
       "   <rect height=\"167.4\" width=\"121.304347826\" x=\"315.055434783\" y=\"8.6910625\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p681a227a57\">\n",
       "   <rect height=\"167.4\" width=\"121.304347826\" x=\"460.620652174\" y=\"8.6910625\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pef06493ae6\">\n",
       "   <rect height=\"167.4\" width=\"121.304347826\" x=\"169.490217391\" y=\"8.6910625\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f489c49b8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "image = create_captcha(\"WOOF\", shear=0.25, scale=1.5)\n",
    "subimages = segment_image(image)\n",
    "f, axes = plt.subplots(1, len(subimages), figsize=(10, 3), sharey=True) \n",
    "for i in range(len(subimages)): \n",
    "    axes[i].imshow(subimages[i], cmap=\"gray\")\n",
    "plt.savefig(\"/home/robert/data/Dropbox/Books/LearningDataMiningRevision/Chapter 8/Graphics/B06162_08_15.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"197pt\" version=\"1.1\" viewBox=\"0 0 589 197\" width=\"589pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 197.617188 \n",
       "L 589.125 197.617188 \n",
       "L 589.125 0 \n",
       "L 0 0 \n",
       "L 0 197.617188 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 23.925 176.739063 \n",
       "L 145.229348 176.739063 \n",
       "L 145.229348 9.339063 \n",
       "L 23.925 9.339063 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p839b14b402)\">\n",
       "    <image height=\"168.0\" id=\"image4437c1a0c8\" width=\"122.0\" x=\"23.925\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.7390625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 23.925 9.339063 \n",
       "L 145.229348 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 23.925 176.739063 \n",
       "L 23.925 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 23.925 176.739063 \n",
       "L 145.229348 176.739063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 145.229348 176.739063 \n",
       "L 145.229348 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -4 \n",
       "\" id=\"mc5e6a66817\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"38.677173913\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 4 \n",
       "\" id=\"m69f30accfa\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"38.677173913\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(32.314673913 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"65.677173913\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"65.677173913\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 15 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(59.314673913 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"92.677173913\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"92.677173913\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(86.314673913 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"119.677173913\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"119.677173913\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(113.314673913 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 4 0 \n",
       "\" id=\"m36e02b1df1\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m36e02b1df1\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -4 0 \n",
       "\" id=\"m169d83a75e\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m169d83a75e\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(13.5625 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m36e02b1df1\" y=\"39.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m169d83a75e\" y=\"39.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(13.5625 41.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m36e02b1df1\" y=\"66.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m169d83a75e\" y=\"66.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(7.2 68.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m36e02b1df1\" y=\"93.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m169d83a75e\" y=\"93.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(7.2 95.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m36e02b1df1\" y=\"120.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m169d83a75e\" y=\"120.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(7.2 122.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m36e02b1df1\" y=\"147.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m169d83a75e\" y=\"147.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(7.2 149.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m36e02b1df1\" y=\"174.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#m169d83a75e\" y=\"174.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 30 -->\n",
       "      <defs>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "\" id=\"BitstreamVeraSans-Roman-33\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 176.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 169.490217 176.739063 \n",
       "L 290.794565 176.739063 \n",
       "L 290.794565 9.339063 \n",
       "L 169.490217 9.339063 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pe9d0f01b47)\">\n",
       "    <image height=\"168.0\" id=\"imagedbfee73a2f\" width=\"123.0\" x=\"169.490217391\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.7390625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 169.490217 9.339063 \n",
       "L 290.794565 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 169.490217 176.739063 \n",
       "L 169.490217 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 169.490217 176.739063 \n",
       "L 290.794565 176.739063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 290.794565 176.739063 \n",
       "L 290.794565 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"192.342391304\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"192.342391304\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(185.979891304 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"219.342391304\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"219.342391304\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(212.979891304 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"246.342391304\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"246.342391304\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(239.979891304 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"273.342391304\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"273.342391304\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(266.979891304 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m36e02b1df1\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m169d83a75e\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m36e02b1df1\" y=\"39.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m169d83a75e\" y=\"39.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m36e02b1df1\" y=\"66.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m169d83a75e\" y=\"66.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m36e02b1df1\" y=\"93.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m169d83a75e\" y=\"93.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m36e02b1df1\" y=\"120.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m169d83a75e\" y=\"120.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m36e02b1df1\" y=\"147.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m169d83a75e\" y=\"147.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m36e02b1df1\" y=\"174.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#m169d83a75e\" y=\"174.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_3\">\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 315.055435 176.739063 \n",
       "L 436.359783 176.739063 \n",
       "L 436.359783 9.339063 \n",
       "L 315.055435 9.339063 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p387cb8858a)\">\n",
       "    <image height=\"168.0\" id=\"image4d3c4a702b\" width=\"122.0\" x=\"315.055434783\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.7390625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path d=\"M 315.055435 9.339063 \n",
       "L 436.359783 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path d=\"M 315.055435 176.739063 \n",
       "L 315.055435 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 315.055435 176.739063 \n",
       "L 436.359783 176.739063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 436.359783 176.739063 \n",
       "L 436.359783 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_5\">\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"324.407608696\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_46\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"324.407608696\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(318.045108696 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_47\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"351.407608696\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_48\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"351.407608696\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(345.045108696 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_49\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"378.407608696\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_50\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"378.407608696\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(372.045108696 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_51\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"405.407608696\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_52\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"405.407608696\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(399.045108696 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_53\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"432.407608696\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_54\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"432.407608696\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- 30 -->\n",
       "      <g transform=\"translate(426.045108696 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_6\">\n",
       "    <g id=\"ytick_15\">\n",
       "     <g id=\"line2d_55\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m36e02b1df1\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_56\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m169d83a75e\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_16\">\n",
       "     <g id=\"line2d_57\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m36e02b1df1\" y=\"39.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_58\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m169d83a75e\" y=\"39.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_17\">\n",
       "     <g id=\"line2d_59\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m36e02b1df1\" y=\"66.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_60\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m169d83a75e\" y=\"66.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_18\">\n",
       "     <g id=\"line2d_61\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m36e02b1df1\" y=\"93.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_62\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m169d83a75e\" y=\"93.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_19\">\n",
       "     <g id=\"line2d_63\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m36e02b1df1\" y=\"120.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_64\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m169d83a75e\" y=\"120.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_20\">\n",
       "     <g id=\"line2d_65\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m36e02b1df1\" y=\"147.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_66\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m169d83a75e\" y=\"147.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_21\">\n",
       "     <g id=\"line2d_67\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m36e02b1df1\" y=\"174.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_68\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#m169d83a75e\" y=\"174.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_4\">\n",
       "   <g id=\"patch_17\">\n",
       "    <path d=\"M 460.620652 176.739063 \n",
       "L 581.925 176.739063 \n",
       "L 581.925 9.339063 \n",
       "L 460.620652 9.339063 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p35c7b7d0d0)\">\n",
       "    <image height=\"168.0\" id=\"image6fcbdb8643\" width=\"122.0\" x=\"460.620652174\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.7390625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_18\">\n",
       "    <path d=\"M 460.620652 9.339063 \n",
       "L 581.925 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_19\">\n",
       "    <path d=\"M 460.620652 176.739063 \n",
       "L 460.620652 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_20\">\n",
       "    <path d=\"M 460.620652 176.739063 \n",
       "L 581.925 176.739063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_21\">\n",
       "    <path d=\"M 581.925 176.739063 \n",
       "L 581.925 9.339063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_7\">\n",
       "    <g id=\"xtick_14\">\n",
       "     <g id=\"line2d_69\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"467.272826087\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_70\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"467.272826087\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(460.910326087 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_15\">\n",
       "     <g id=\"line2d_71\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"494.272826087\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_72\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"494.272826087\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_22\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(487.910326087 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_16\">\n",
       "     <g id=\"line2d_73\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"521.272826087\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_74\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"521.272826087\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_23\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(514.910326087 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_17\">\n",
       "     <g id=\"line2d_75\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"548.272826087\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_76\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"548.272826087\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_24\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(541.910326087 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_18\">\n",
       "     <g id=\"line2d_77\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"575.272826087\" xlink:href=\"#mc5e6a66817\" y=\"176.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_78\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"575.272826087\" xlink:href=\"#m69f30accfa\" y=\"9.3390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_25\">\n",
       "      <!-- 30 -->\n",
       "      <g transform=\"translate(568.910326087 188.3375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_8\">\n",
       "    <g id=\"ytick_22\">\n",
       "     <g id=\"line2d_79\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m36e02b1df1\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_80\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m169d83a75e\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_23\">\n",
       "     <g id=\"line2d_81\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m36e02b1df1\" y=\"39.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_82\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m169d83a75e\" y=\"39.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_24\">\n",
       "     <g id=\"line2d_83\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m36e02b1df1\" y=\"66.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_84\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m169d83a75e\" y=\"66.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_25\">\n",
       "     <g id=\"line2d_85\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m36e02b1df1\" y=\"93.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_86\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m169d83a75e\" y=\"93.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_26\">\n",
       "     <g id=\"line2d_87\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m36e02b1df1\" y=\"120.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_88\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m169d83a75e\" y=\"120.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_27\">\n",
       "     <g id=\"line2d_89\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m36e02b1df1\" y=\"147.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_90\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m169d83a75e\" y=\"147.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_28\">\n",
       "     <g id=\"line2d_91\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m36e02b1df1\" y=\"174.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_92\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#m169d83a75e\" y=\"174.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p35c7b7d0d0\">\n",
       "   <rect height=\"167.4\" width=\"121.304347826\" x=\"460.620652174\" y=\"9.3390625\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p387cb8858a\">\n",
       "   <rect height=\"167.4\" width=\"121.304347826\" x=\"315.055434783\" y=\"9.3390625\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pe9d0f01b47\">\n",
       "   <rect height=\"167.4\" width=\"121.304347826\" x=\"169.490217391\" y=\"9.3390625\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p839b14b402\">\n",
       "   <rect height=\"167.4\" width=\"121.304347826\" x=\"23.925\" y=\"9.3390625\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f489ab6b470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "image = create_captcha(\"BARK\", shear=0.8, scale=1.5)\n",
    "subimages = segment_image(image)\n",
    "f, axes = plt.subplots(1, len(subimages), figsize=(10, 3), sharey=True) \n",
    "for i in range(len(subimages)): \n",
    "    axes[i].imshow(subimages[i], cmap=\"gray\")\n",
    "plt.savefig(\"/home/robert/data/Dropbox/Books/LearningDataMiningRevision/Chapter 8/Graphics/B06162_08_16.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.utils import check_random_state\n",
    "random_state = check_random_state(14) \n",
    "letters = list(\"ABCDEFGHIJKLMNOPQRSTUVWXYZ\")\n",
    "assert len(letters) == 26\n",
    "shear_values = np.arange(0, 0.8, 0.05)\n",
    "scale_values = np.arange(0.9, 1.1, 0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def generate_sample(random_state=None): \n",
    "    random_state = check_random_state(random_state) \n",
    "    letter = random_state.choice(letters) \n",
    "    shear = random_state.choice(shear_values)\n",
    "    scale = random_state.choice(scale_values)\n",
    "    return create_captcha(letter, shear=shear, size=(30, 30), scale=scale), letters.index(letter)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The target for this image is: L\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"251pt\" version=\"1.1\" viewBox=\"0 0 254 251\" width=\"254pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 251.983854 \n",
       "L 254.325 251.983854 \n",
       "L 254.325 0 \n",
       "L 0 0 \n",
       "L 0 251.983854 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 23.925 231.105729 \n",
       "L 247.125 231.105729 \n",
       "L 247.125 7.905729 \n",
       "L 23.925 7.905729 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p4f0898ca3e)\">\n",
       "    <image height=\"224.0\" id=\"imageae7c68075f\" width=\"224.0\" x=\"23.925\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"7.10572916667\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 23.925 7.905729 \n",
       "L 247.125 7.905729 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 23.925 231.105729 \n",
       "L 23.925 7.905729 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 23.925 231.105729 \n",
       "L 247.125 231.105729 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 247.125 231.105729 \n",
       "L 247.125 7.905729 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -4 \n",
       "\" id=\"m5fdf16ad72\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"28.0583333333\" xlink:href=\"#m5fdf16ad72\" y=\"231.105729167\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 4 \n",
       "\" id=\"m018ceb7186\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"28.0583333333\" xlink:href=\"#m018ceb7186\" y=\"7.90572916667\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(24.8770833333 242.704166667)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"69.3916666667\" xlink:href=\"#m5fdf16ad72\" y=\"231.105729167\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"69.3916666667\" xlink:href=\"#m018ceb7186\" y=\"7.90572916667\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(66.2104166667 242.704166667)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"110.725\" xlink:href=\"#m5fdf16ad72\" y=\"231.105729167\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"110.725\" xlink:href=\"#m018ceb7186\" y=\"7.90572916667\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(104.3625 242.704166667)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"152.058333333\" xlink:href=\"#m5fdf16ad72\" y=\"231.105729167\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"152.058333333\" xlink:href=\"#m018ceb7186\" y=\"7.90572916667\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(145.695833333 242.704166667)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"193.391666667\" xlink:href=\"#m5fdf16ad72\" y=\"231.105729167\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"193.391666667\" xlink:href=\"#m018ceb7186\" y=\"7.90572916667\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(187.029166667 242.704166667)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"234.725\" xlink:href=\"#m5fdf16ad72\" y=\"231.105729167\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"234.725\" xlink:href=\"#m018ceb7186\" y=\"7.90572916667\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(228.3625 242.704166667)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 4 0 \n",
       "\" id=\"m795bb868dd\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m795bb868dd\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -4 0 \n",
       "\" id=\"m64206b06e9\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"247.125\" xlink:href=\"#m64206b06e9\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(13.5625 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m795bb868dd\" y=\"53.3723958333\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"247.125\" xlink:href=\"#m64206b06e9\" y=\"53.3723958333\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(13.5625 56.1317708333)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m795bb868dd\" y=\"94.7057291667\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"247.125\" xlink:href=\"#m64206b06e9\" y=\"94.7057291667\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(7.2 97.4651041667)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m795bb868dd\" y=\"136.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"247.125\" xlink:href=\"#m64206b06e9\" y=\"136.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(7.2 138.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m795bb868dd\" y=\"177.372395833\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"247.125\" xlink:href=\"#m64206b06e9\" y=\"177.372395833\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(7.2 180.131770833)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m795bb868dd\" y=\"218.705729167\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"247.125\" xlink:href=\"#m64206b06e9\" y=\"218.705729167\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(7.2 221.465104167)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p4f0898ca3e\">\n",
       "   <rect height=\"223.2\" width=\"223.2\" x=\"23.925\" y=\"7.90572916667\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f489e4ea6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "image, target = generate_sample(random_state) \n",
    "plt.imshow(image, cmap=\"Greys\") \n",
    "print(\"The target for this image is: {0}\".format(letters[target]))\n",
    "plt.savefig(\"/home/robert/data/Dropbox/Books/LearningDataMiningRevision/Chapter 8/Graphics/B06162_08_17.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dataset, targets = zip(*(generate_sample(random_state) for i in range(1000)))\n",
    "dataset = np.array([tf.resize(segment_image(sample)[0], (20, 20)) for sample in dataset])\n",
    "dataset = np.array(dataset, dtype='float') \n",
    "targets = np.array(targets)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import OneHotEncoder \n",
    "onehot = OneHotEncoder() \n",
    "y = onehot.fit_transform(targets.reshape(targets.shape[0],1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y = y.todense()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "X = dataset.reshape((dataset.shape[0], dataset.shape[1] * dataset.shape[2]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split \n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, train_size=0.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.neural_network import MLPClassifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "clf = MLPClassifier(hidden_layer_sizes=(100,), random_state=14)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'activation': 'relu',\n",
       " 'alpha': 0.0001,\n",
       " 'batch_size': 'auto',\n",
       " 'beta_1': 0.9,\n",
       " 'beta_2': 0.999,\n",
       " 'early_stopping': False,\n",
       " 'epsilon': 1e-08,\n",
       " 'hidden_layer_sizes': (100,),\n",
       " 'learning_rate': 'constant',\n",
       " 'learning_rate_init': 0.001,\n",
       " 'max_iter': 200,\n",
       " 'momentum': 0.9,\n",
       " 'nesterovs_momentum': True,\n",
       " 'power_t': 0.5,\n",
       " 'random_state': 14,\n",
       " 'shuffle': True,\n",
       " 'solver': 'adam',\n",
       " 'tol': 0.0001,\n",
       " 'validation_fraction': 0.1,\n",
       " 'verbose': False,\n",
       " 'warm_start': False}"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.get_params()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/robert/Programs/anaconda3/lib/python3.5/site-packages/sklearn/neural_network/multilayer_perceptron.py:563: ConvergenceWarning: Stochastic Optimizer: Maximum iterations reached and the optimization hasn't converged yet.\n",
      "  % (), ConvergenceWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "MLPClassifier(activation='relu', alpha=0.0001, batch_size='auto', beta_1=0.9,\n",
       "       beta_2=0.999, early_stopping=False, epsilon=1e-08,\n",
       "       hidden_layer_sizes=(100,), learning_rate='constant',\n",
       "       learning_rate_init=0.001, max_iter=200, momentum=0.9,\n",
       "       nesterovs_momentum=True, power_t=0.5, random_state=14, shuffle=True,\n",
       "       solver='adam', tol=0.0001, validation_fraction=0.1, verbose=False,\n",
       "       warm_start=False)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(clf.coefs_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(400, 100)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.coefs_[0].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 26)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.coefs_[1].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"237pt\" version=\"1.1\" viewBox=\"0 0 324 237\" width=\"324pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 237.6 \n",
       "L 324.93913 237.6 \n",
       "L 324.93913 0 \n",
       "L 0 0 \n",
       "L 0 237.6 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 7.2 55.721739 \n",
       "L 55.721739 55.721739 \n",
       "L 55.721739 7.2 \n",
       "L 7.2 7.2 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p8613e09e24)\">\n",
       "    <image height=\"49.0\" id=\"image9567077ff6\" width=\"50.0\" x=\"7.2\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"6.72173913043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 7.2 7.2 \n",
       "L 55.721739 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 7.2 55.721739 \n",
       "L 7.2 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 7.2 55.721739 \n",
       "L 55.721739 55.721739 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 55.721739 55.721739 \n",
       "L 55.721739 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\"/>\n",
       "   <g id=\"matplotlib.axis_2\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 94.53913 55.721739 \n",
       "L 143.06087 55.721739 \n",
       "L 143.06087 7.2 \n",
       "L 94.53913 7.2 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p823b93b99d)\">\n",
       "    <image height=\"49.0\" id=\"image434225d77b\" width=\"49.0\" x=\"94.5391304348\" xlink:href=\"data:image/png;base64,\n",
       "iVBORw0KGgoAAAANSUhEUgAAADEAAAAxCAYAAABznEEcAAAABHNCSVQICAgIfAhkiAAABZ9JREFUaIHdmttLVVsUxn87d6bdzVtKdxOzjLIokzK6kEVBXiAVKuipf6gHwZ58kLCCQisEjQortCyL7mGmVpZZWVLZffdw+Macq87DeTzM/aL8pu615xpjfPMbY+1Yd3d3AuD+/fvoNTw8DMCuXbuMnTx5EoDnz58bGx0dBWDPnj3G+vr6AJg6dSoAq1atsjWxFy9eGFu9ejUAHR0dxvLz8wHo7Ow0tm3bNgCOHTtmbPny5QBMIoBXrL6+PgHw8eNHg4sXLwagt7fXmO56WlqasV+/fgHuzgFMmzYNgG/fvgFw7do1W5s9ezYAW7duNXb16lX+vP7kyZMBePjwoTFd48uXL8YeP34MBBKJIDYRz87OBmDDhg0GP3z4AEB1dbWxo0ePAq7AAC5cuADAlStXjCncSok1a9bYmlKrrKzM2KdPnwCoqKgwduLECcAVvf++SnWAO3fuAKFEQgU1Pj5uUL/7bMaMGQC0tLQYKygoAGBkZMTY9u3bASfJijTAli1bALh165YxyeT58+eN1dXVAfD27Vtjkvbv378b03sHEYkgNhH/+fMn4NIFXMrU1tYaU4H6qaB0mjlzprEzZ84AsHDhQiCq60uWLAEgKSnJ2IIFC4BoEUtYLl68aOzz588ArF271pgEIoxISCYLCwsNfv36FXAeyv/90KFDfzFfYhUd/Xzy5ImtScbb29uNvX//HoCVK1caW7RoEQA7duwwdvv2bSAqNikpKUAgkQhiE7GmpqYEQFdXl8HU1FQgmmIq1MzMTGOyyko/gKVLlwJw48YNADZu3Ghr06dPB2DevHnGJARaA3j9+vVfH1QOoLu729iPHz+AUCLR29ubADh9+rRBFc+kSW6PusNDQ0PGNm3aBEQl89SpUwDk5uYCMH/+fFtTYevuA2RlZQHOpvvX94VFVtw/Cpqbm//5nP9ho//7VxCbiKtjO3z4sMHjx48DsH79emP+6amXujffFL58+RJwGi5HAC4V5s6da0wn+qVLl9yHiseBaN9/+fJlIJqeOuWDiESss7MzAVH/M2fOHADu3btnrL+/H3DyCzBr1izAySm4HvvBgwdA1OvcvXsXiEqoxEG+CuDIkSNAdFKiiKmJAli2bBkQSCSC2ET83LlzAGzevNmguicVPTij5hswpZ1fvDqh1XX5oxgNz3SGgLPdEhNwwzjZb4C8vDwg2kXKXIYRCRWnXzCKgGQSIJFIANHhmfyWP71oa2sDoKamBoCGhgZbk8Tu3LnTmK775s0bY+/evQOcrIKTeP9/JdVBRCLW09OTACeN4JoWX3aVk748ykVqnAiwb98+AK5fvw5AT0+PramhamxsNCZHqwMO3DzLb5SUHf5oU1kRRCSC2IQNzzIyMgzKFvupo6K8efOmscrKSiAqCq2trQCUl5cDTprBeS2fqYgPHDhgTNLq9+c6nX2xCWoqHtu/f38C4ODBgwb1XEJ3DtyhtWLFCmPyVr4o/DmM9u+cJHlsbMyY7ramI/77+XKua/kS++zZMyCQSASxibiK19dpPY7yNVmTDz0TAJcy/gRiypQpgLPOfp+uVNSzDnBNjn8tTU/kzQBKSkqA6ENLuY0wIiFpO3v2rMFXr14B0cJWsfnOUn5HpzmAXLGeO/ieSP5HdxVcJPz2V++n0SU4KVYxA+zevRsIJBJBbCJWUVGRADccA0hOTgbcYAvc6ejrflVVFRA92ScmJgA37vS/gaCeWcYRnFVft26dMaWMUhKcGY3FYsZkCoOIRHzv3r2Am0QADAwMANFvCuTk5ABR2y0BePTokbH09HQAnj59CsDg4KCt6c75Dw9LS0uB6FBarW1RUZExjT71ecFlShCRCGITsaGhoQREC1CF53dl0nG/2NXj6pQGp+ey7v5QTGeNf+r/2wRE51NxcbExTcD9v1PqBhGJ31Z+cIWWiJtbAAAAAElFTkSuQmCC\" y=\"6.72173913043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 94.53913 7.2 \n",
       "L 143.06087 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 94.53913 55.721739 \n",
       "L 94.53913 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 94.53913 55.721739 \n",
       "L 143.06087 55.721739 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 143.06087 55.721739 \n",
       "L 143.06087 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\"/>\n",
       "   <g id=\"matplotlib.axis_4\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_3\">\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 181.878261 55.721739 \n",
       "L 230.4 55.721739 \n",
       "L 230.4 7.2 \n",
       "L 181.878261 7.2 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pc94c4147db)\">\n",
       "    <image height=\"49.0\" id=\"imageec1b8c68ec\" width=\"49.0\" x=\"181.87826087\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"6.72173913043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path d=\"M 181.878261 7.2 \n",
       "L 230.4 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path d=\"M 181.878261 55.721739 \n",
       "L 181.878261 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 181.878261 55.721739 \n",
       "L 230.4 55.721739 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 230.4 55.721739 \n",
       "L 230.4 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_5\"/>\n",
       "   <g id=\"matplotlib.axis_6\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_4\">\n",
       "   <g id=\"patch_17\">\n",
       "    <path d=\"M 269.217391 55.721739 \n",
       "L 317.73913 55.721739 \n",
       "L 317.73913 7.2 \n",
       "L 269.217391 7.2 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pabd6c1d8b5)\">\n",
       "    <image height=\"49.0\" id=\"image7130b097ee\" width=\"50.0\" x=\"269.217391304\" xlink:href=\"data:image/png;base64,\n",
       "iVBORw0KGgoAAAANSUhEUgAAADIAAAAxCAYAAACYq/ofAAAABHNCSVQICAgIfAhkiAAABaBJREFUaIHdmtlvTW8Uhp+jB6E1tOaiVFI1qylNDDEkDdJEExExNCISvfD/uJAQQiSapkgqokSooRXEPAZFKVoRY9V8XPCub+2c33Ddb18+e599zrff9a31rrVPqrKyMgNQXV2NjqamJgCWLFlirF+/fgA8fPjQ2MSJEwHIyckxtn37dgAKCwuNzZo1C4D8/HxjBw4cAKCmpsbYiRMnAHj//r2xoUOHAjB8+HBjZ8+eBaC0tNRYLyI50rNnzwbgxo0bBnNzcwF4+fKlsYKCAgAuXbpkTMoNGzYs3DCdBoIKAG/fvgWSipSXlwPQ2NhobNGiRQD8+PHD2JMnTwAYOXKkseLi4iwWjSLRLCRVW1ubAejVK6zp0aNHAPTv39/YmzdvgKScY8aMAeDu3btZ7Pz588YUlvfu3TOm8PVhef/+fQBGjRplTL9r8ODBxm7evAnA1q1bw3X/s9Aec6RfvHgBhFQK4Sn4zT5v3jwgpD6AVCqVdd3Vq1cB+Pnzp7GKigogmUKVzv9JuUGDBhmbM2cOABcuXDC2ceNGIJmgolEkmoWkv379CkB3d7dBhceUKVOMqXr7at/R0QHAp0+fjI0dOxaAsrIyY48fPwaS9aFv374ArFixwtixY8eAZGX/8uVL4r4A165dA0JSgpgUUdU9efKkwU2bNgHQ0tJibM+ePQBs2bLF2PXr1wGYOnWqsY8fPwLJpzVu3DgAvn37Zkyb/PPnz8akkleuvb0dSCYjpewoFYlmIelfv34Bycq5c+dOADZv3mzs3bt3AHz//t1Ynz59sm6o8Ll161bWOe8KJkyYkLgvgGqawh2CU/B1ROHrnUc8ikyaNAmA58+fG5TX8Wm1pKQEgN69e2ddpw0JYfOOGDHCmFT0LYBcQWdnp7HFixcDySSjiPEqrVy5Eki6gmgUiWYhZhqfPXtmUOFWW1trTMnA53iZwJkzZxp7+vQpkOztFW6+VRgyZAgACxcuNKYQ7OrqMlZUVAQE0wohHOfPn28sHkXu3LkDwLp16wx++PDhz8m//TfA8uXLATh48KCxVatWAdDW1mZMDkFWG+DIkSMALFiwwJjUfPXqlbEzZ84AsH79emNStrW11ZgUk8WHiBSJZiFpGbC9e/ca1Ab0m/jy5csAaHwEIY9PnjzZ2LJlywDIZDLGZMV916jqfPjwYWPbtm0Dgp2HEIK+zuXl5QGxVnY9Ge+1BgwYAISGCMITlvfx51X1AU6fPp31WankK7tGqr4Bk0/TE4egyO3bt40tXboUgKNHjxqLRpFUdXV1BkLMQkhrPuVVVVX9+cBfj+QP/7QUy97Vajrii5qaqPr6emOadW3YsMHYlStXgGQh1vTEt93RKBLNQtKabHs7rSmG/BCApi0+jNQc+evktXwoyJ77UFWf79sCebFDhw4ZUzvgJzoqGadOnQqf/e919pwj1dDQkAF4/fq1webmZiBscID9+/cDsHbtWmP79u0DYM2aNeGGf5OBH3seP34cSDZgigRfTC9evAgEpSE0Wb5NVlKQ0hCRItEsJC2brOk4BI8ljwRhyOYtu8ao3vPIs/mB2ty5c4EwJfGHb7YqKyuBMMWB0DxpTAohHHfs2BHu869L7GFHWqnWb0Qp4d+FrF69GgivlSH4L6+mnLNPyQ0NDUDyBakfd+qQm/YNmPyZvh/C8Nx/RzSKRLOQVF1dXQbgwYMHBjVF8Rts+vTpAAwcONCYzJvqDoR8P378eGOqyn5j19XVAaEmQHjh6kNLPb0fz2rOoFd6EJEiaTVC3mLv3r0bCNUXwitor9yMGTOAZGXXk/YeStXZ//NBrsG32Bqa79q1y5jGo/oHBIQxqh/LRqNINAtJa7IxevRog6qcvraoVvgRp3psb9llz31boPO+jshI+r9XnTt3Lus6haNPMtOmTcv6fdEo8hssDUtZgtn3VgAAAABJRU5ErkJggg==\" y=\"6.72173913043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_18\">\n",
       "    <path d=\"M 269.217391 7.2 \n",
       "L 317.73913 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_19\">\n",
       "    <path d=\"M 269.217391 55.721739 \n",
       "L 269.217391 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_20\">\n",
       "    <path d=\"M 269.217391 55.721739 \n",
       "L 317.73913 55.721739 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_21\">\n",
       "    <path d=\"M 317.73913 55.721739 \n",
       "L 317.73913 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_7\"/>\n",
       "   <g id=\"matplotlib.axis_8\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_5\">\n",
       "   <g id=\"patch_22\">\n",
       "    <path d=\"M 7.2 113.947826 \n",
       "L 55.721739 113.947826 \n",
       "L 55.721739 65.426087 \n",
       "L 7.2 65.426087 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pd34e29fa31)\">\n",
       "    <image height=\"49.0\" id=\"image9717227354\" width=\"50.0\" x=\"7.2\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"64.947826087\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_23\">\n",
       "    <path d=\"M 7.2 65.426087 \n",
       "L 55.721739 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_24\">\n",
       "    <path d=\"M 7.2 113.947826 \n",
       "L 7.2 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_25\">\n",
       "    <path d=\"M 7.2 113.947826 \n",
       "L 55.721739 113.947826 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_26\">\n",
       "    <path d=\"M 55.721739 113.947826 \n",
       "L 55.721739 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_9\"/>\n",
       "   <g id=\"matplotlib.axis_10\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_6\">\n",
       "   <g id=\"patch_27\">\n",
       "    <path d=\"M 94.53913 113.947826 \n",
       "L 143.06087 113.947826 \n",
       "L 143.06087 65.426087 \n",
       "L 94.53913 65.426087 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pe3fb578b9c)\">\n",
       "    <image height=\"49.0\" id=\"image728d030dd6\" width=\"49.0\" x=\"94.5391304348\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"64.947826087\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_28\">\n",
       "    <path d=\"M 94.53913 65.426087 \n",
       "L 143.06087 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_29\">\n",
       "    <path d=\"M 94.53913 113.947826 \n",
       "L 94.53913 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_30\">\n",
       "    <path d=\"M 94.53913 113.947826 \n",
       "L 143.06087 113.947826 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_31\">\n",
       "    <path d=\"M 143.06087 113.947826 \n",
       "L 143.06087 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_11\"/>\n",
       "   <g id=\"matplotlib.axis_12\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_7\">\n",
       "   <g id=\"patch_32\">\n",
       "    <path d=\"M 181.878261 113.947826 \n",
       "L 230.4 113.947826 \n",
       "L 230.4 65.426087 \n",
       "L 181.878261 65.426087 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p2101750aa1)\">\n",
       "    <image height=\"49.0\" id=\"image609f02ec73\" width=\"49.0\" x=\"181.87826087\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"64.947826087\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_33\">\n",
       "    <path d=\"M 181.878261 65.426087 \n",
       "L 230.4 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_34\">\n",
       "    <path d=\"M 181.878261 113.947826 \n",
       "L 181.878261 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_35\">\n",
       "    <path d=\"M 181.878261 113.947826 \n",
       "L 230.4 113.947826 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_36\">\n",
       "    <path d=\"M 230.4 113.947826 \n",
       "L 230.4 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_13\"/>\n",
       "   <g id=\"matplotlib.axis_14\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_8\">\n",
       "   <g id=\"patch_37\">\n",
       "    <path d=\"M 269.217391 113.947826 \n",
       "L 317.73913 113.947826 \n",
       "L 317.73913 65.426087 \n",
       "L 269.217391 65.426087 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pc277c1a199)\">\n",
       "    <image height=\"49.0\" id=\"imageeade16c0a3\" width=\"50.0\" x=\"269.217391304\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"64.947826087\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_38\">\n",
       "    <path d=\"M 269.217391 65.426087 \n",
       "L 317.73913 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_39\">\n",
       "    <path d=\"M 269.217391 113.947826 \n",
       "L 269.217391 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_40\">\n",
       "    <path d=\"M 269.217391 113.947826 \n",
       "L 317.73913 113.947826 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_41\">\n",
       "    <path d=\"M 317.73913 113.947826 \n",
       "L 317.73913 65.426087 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_15\"/>\n",
       "   <g id=\"matplotlib.axis_16\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_9\">\n",
       "   <g id=\"patch_42\">\n",
       "    <path d=\"M 7.2 172.173913 \n",
       "L 55.721739 172.173913 \n",
       "L 55.721739 123.652174 \n",
       "L 7.2 123.652174 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p970401eaab)\">\n",
       "    <image height=\"50.0\" id=\"imagecec57fc74d\" width=\"50.0\" x=\"7.2\" xlink:href=\"data:image/png;base64,\n",
       "iVBORw0KGgoAAAANSUhEUgAAADIAAAAyCAYAAAAeP4ixAAAABHNCSVQICAgIfAhkiAAABKpJREFUaIHtmtlLVWsUwH/mccgckgo1JyRoUCzLCRQFjVLEh8QCn3vxX9G/wnoSBCH1oUISTBRnURHnAecp5zFN78Nlrf1tTtdr3AHud11PH7999tln7bW+NX3Hp7Ky8hygtbUVkeLiYgCuX7+uLCIiAoDq6mplz549A2B0dFRZTk4OAIODg8pCQ0MBiImJUdbW1gZAdHS0sri4OAC+f/+uTNabm5tcJNcuvPofEmsU8czMzACOmwCEh4cDcO2ao+fXr18BePTokTJxn5OTE2XDw8MAnJ+fKxM3Cg4OVpadnQ3A6empMvme7u5uZSkpKZdSxB6LyBtZWlpSKNZ5//69slu3bgEwPj6uLDIyEoBv374pk++RgAEwNDQEQGZmpjIJHp2dncoODw8BSE9PV7a7u3spRayxiDWK+FRUVJwDdHV1KSwsLAQgNjZWWUtLCwCPHz9W9vHjRwBu3Lih7P79+wDMzc0pe/DgAQCfP39WlpCQAMCLFy+USY4SlwUYGxvzem5AQICXItZYxCMLcyMeHR0BUFdXp+zp06eAYxmArKwswL1hj4+PAbh9+7ays7MzwJ3F9/b2AFhfX1eWn5/v9QPle4KCgpRtb297fc4ai1ijiLqWmB9gcnLSi4k59/f3lUkukEoAnELT/JwUfKYblZWVATAwMKAsKioKcNwOYHV11YvFx8d7/T5rLKLh92fy8OFDXUvW7e/vVyZh13z78pbMFsBciywsLABua0rILikpUVZVVQXA27dvlY2MjADw48cPZdZYxBpFPBdd7O3t1bVkW8kT4BSXUroDLC8vA+7s++TJE8CdlwoKCgBoampSdvPmTcAJNuDkKnOzJyYmAtDY2KjMGotcuNlN6enpAdwWCQkJAdxZ9/Xr14D7TU9PTwMQGBiozM/PD3CH0OTkZMBdu0nbIG0EOMHFbPKssYg1ily42U1JTU0FYHFxUVlRURHgjufS24eFhSm7d+8e4HajjIwMAJqbm5XduXMHcBemUj3cvXtXmRSp9fX1yv5/FhGRDQ5O0yODNXA24tTUlDJpAWQzg/M2zXJ/YmICAH9/f2XSUohlwAkaaWlpyqyxiDWKXDqP/ExkCGeW4lLwmbPaT58+Ae7CT6Sjo0PXUg1sbW0pEzc6ODhQJv17X1+fMmss8sub3RQfHx/AqYcAvnz5AjjND0B5eTkAHz58UCbhdHZ2VplMVNbW1pTJGFWmM+A0aBsbG8qssYg1ivwl1xIxO8Tc3FwAampqlEnfbU78pfjMy8tTJodNZq6Se6TwBOcUwLz3yiJ/JCsrK4D7fESO4xoaGpSVlpYCTm0G8PLlS8DdqEkwMMOvZHuzebPGItYo8re7lpzCml2jnPo+f/5cma+vL+Ce40oFIK4IzgxA3AnA4/G4rsGVRf5czEPMpKQkwH24Ks2RmbFlOtLe3q5MNrsMCMFpBySsg0UWsUaRf8y1THn37t3vD/M4jxNXefXqlTIZ4JkdohSmJpN7TXZlkV8R6a2ldwcn/JpNlAz3zEmN1F21tbXKJMSbgzxrLGKNIv+Ka8mGnZ+fVyZdnpkfJGe8efNGmfwhxyzZpVjc2dlRZo1FfgMXXdTn3owbNwAAAABJRU5ErkJggg==\" y=\"122.173913043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_43\">\n",
       "    <path d=\"M 7.2 123.652174 \n",
       "L 55.721739 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_44\">\n",
       "    <path d=\"M 7.2 172.173913 \n",
       "L 7.2 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_45\">\n",
       "    <path d=\"M 7.2 172.173913 \n",
       "L 55.721739 172.173913 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_46\">\n",
       "    <path d=\"M 55.721739 172.173913 \n",
       "L 55.721739 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_17\"/>\n",
       "   <g id=\"matplotlib.axis_18\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_10\">\n",
       "   <g id=\"patch_47\">\n",
       "    <path d=\"M 94.53913 172.173913 \n",
       "L 143.06087 172.173913 \n",
       "L 143.06087 123.652174 \n",
       "L 94.53913 123.652174 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p3fb0dcabbd)\">\n",
       "    <image height=\"50.0\" id=\"imagea353cf0e75\" width=\"49.0\" x=\"94.5391304348\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"122.173913043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_48\">\n",
       "    <path d=\"M 94.53913 123.652174 \n",
       "L 143.06087 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_49\">\n",
       "    <path d=\"M 94.53913 172.173913 \n",
       "L 94.53913 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_50\">\n",
       "    <path d=\"M 94.53913 172.173913 \n",
       "L 143.06087 172.173913 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_51\">\n",
       "    <path d=\"M 143.06087 172.173913 \n",
       "L 143.06087 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_19\"/>\n",
       "   <g id=\"matplotlib.axis_20\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_11\">\n",
       "   <g id=\"patch_52\">\n",
       "    <path d=\"M 181.878261 172.173913 \n",
       "L 230.4 172.173913 \n",
       "L 230.4 123.652174 \n",
       "L 181.878261 123.652174 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pc9cbead044)\">\n",
       "    <image height=\"50.0\" id=\"image85836acf9e\" width=\"49.0\" x=\"181.87826087\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"122.173913043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_53\">\n",
       "    <path d=\"M 181.878261 123.652174 \n",
       "L 230.4 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_54\">\n",
       "    <path d=\"M 181.878261 172.173913 \n",
       "L 181.878261 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_55\">\n",
       "    <path d=\"M 181.878261 172.173913 \n",
       "L 230.4 172.173913 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_56\">\n",
       "    <path d=\"M 230.4 172.173913 \n",
       "L 230.4 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_21\"/>\n",
       "   <g id=\"matplotlib.axis_22\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_12\">\n",
       "   <g id=\"patch_57\">\n",
       "    <path d=\"M 269.217391 172.173913 \n",
       "L 317.73913 172.173913 \n",
       "L 317.73913 123.652174 \n",
       "L 269.217391 123.652174 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p3a053d7fd5)\">\n",
       "    <image height=\"50.0\" id=\"image502efdecfc\" width=\"50.0\" x=\"269.217391304\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"122.173913043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_58\">\n",
       "    <path d=\"M 269.217391 123.652174 \n",
       "L 317.73913 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_59\">\n",
       "    <path d=\"M 269.217391 172.173913 \n",
       "L 269.217391 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_60\">\n",
       "    <path d=\"M 269.217391 172.173913 \n",
       "L 317.73913 172.173913 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_61\">\n",
       "    <path d=\"M 317.73913 172.173913 \n",
       "L 317.73913 123.652174 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_23\"/>\n",
       "   <g id=\"matplotlib.axis_24\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_13\">\n",
       "   <g id=\"patch_62\">\n",
       "    <path d=\"M 7.2 230.4 \n",
       "L 55.721739 230.4 \n",
       "L 55.721739 181.878261 \n",
       "L 7.2 181.878261 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p57f7ef9b6a)\">\n",
       "    <image height=\"50.0\" id=\"imagef3fedc95a4\" width=\"50.0\" x=\"7.2\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"180.4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_63\">\n",
       "    <path d=\"M 7.2 181.878261 \n",
       "L 55.721739 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_64\">\n",
       "    <path d=\"M 7.2 230.4 \n",
       "L 7.2 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_65\">\n",
       "    <path d=\"M 7.2 230.4 \n",
       "L 55.721739 230.4 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_66\">\n",
       "    <path d=\"M 55.721739 230.4 \n",
       "L 55.721739 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_25\"/>\n",
       "   <g id=\"matplotlib.axis_26\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_14\">\n",
       "   <g id=\"patch_67\">\n",
       "    <path d=\"M 94.53913 230.4 \n",
       "L 143.06087 230.4 \n",
       "L 143.06087 181.878261 \n",
       "L 94.53913 181.878261 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p2686eb402e)\">\n",
       "    <image height=\"50.0\" id=\"image8c6f32f716\" width=\"49.0\" x=\"94.5391304348\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"180.4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_68\">\n",
       "    <path d=\"M 94.53913 181.878261 \n",
       "L 143.06087 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_69\">\n",
       "    <path d=\"M 94.53913 230.4 \n",
       "L 94.53913 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_70\">\n",
       "    <path d=\"M 94.53913 230.4 \n",
       "L 143.06087 230.4 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_71\">\n",
       "    <path d=\"M 143.06087 230.4 \n",
       "L 143.06087 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_27\"/>\n",
       "   <g id=\"matplotlib.axis_28\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_15\">\n",
       "   <g id=\"patch_72\">\n",
       "    <path d=\"M 181.878261 230.4 \n",
       "L 230.4 230.4 \n",
       "L 230.4 181.878261 \n",
       "L 181.878261 181.878261 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p1face5cc79)\">\n",
       "    <image height=\"50.0\" id=\"image63283553e5\" width=\"49.0\" x=\"181.87826087\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"180.4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_73\">\n",
       "    <path d=\"M 181.878261 181.878261 \n",
       "L 230.4 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_74\">\n",
       "    <path d=\"M 181.878261 230.4 \n",
       "L 181.878261 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_75\">\n",
       "    <path d=\"M 181.878261 230.4 \n",
       "L 230.4 230.4 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_76\">\n",
       "    <path d=\"M 230.4 230.4 \n",
       "L 230.4 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_29\"/>\n",
       "   <g id=\"matplotlib.axis_30\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_16\">\n",
       "   <g id=\"patch_77\">\n",
       "    <path d=\"M 269.217391 230.4 \n",
       "L 317.73913 230.4 \n",
       "L 317.73913 181.878261 \n",
       "L 269.217391 181.878261 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p02b2b8561c)\">\n",
       "    <image height=\"50.0\" id=\"imagea7abb24d02\" width=\"50.0\" x=\"269.217391304\" xlink:href=\"data:image/png;base64,\n",
       "iVBORw0KGgoAAAANSUhEUgAAADIAAAAyCAYAAAAeP4ixAAAABHNCSVQICAgIfAhkiAAABZxJREFUaIHdmslOVVsQhr+jxw4R7HuD2MZggw0JYIMNKsywS4waGZgYBj6Ac98CByaG4MCJTdTYxoRggg1qIvaiRhQFFMVexHMH9/61at9zX+CuPeHkO2c3a9eqqr+qSNXW1mYAli1bho5nz54B0NXVZWzv3r0AvHnzxtiNGzcA+PXrl7FZs2YBMHHiRGNjxozh38enT58AuHr1qrHdu3cD0NjYaKyiogKAsWPHZj1fbm6usUFZd/ifHtEsJP3z508AHj58aHDmzJkATJo0KeuEM2fO2OetW7cCkJOTY+zkyZMAXLt2zdjw4cMBKCgoMDZ79mwAfv/+bay+vj5xXYBTp04BsHjxYmMPHjwAoKqqylg8FsnLywMgPz/f4Ny5cwFoa2szduzYMQBGjRplbGBgAIDXr18b27lzJwCnT582pu/9uWfPngVg3759xu7duwdAU1OTMVnCP9/o0aMBePr0qbFoLBLNQlIHDx7MAAwdOtTgjx8/gGQA2LVrFwDv37839ujRIwCeP3+edeEVK1ZkXa+vr8+YtrQPAF+/fgXg8ePHxhRIRo4caWzp0qUAnDhxwlg0Fklrpd++fTO4fv16ABYsWGCsubkZgFevXhlTJv78+bOxmpoaAO7fv29s/PjxAJw/f96Y7rtkyRJj2hXV1dXGdO0rV64YkxUrKyuNRWORaBaSLi4uBkJWBbhz5w4ABw4cMKaYPW7cOGPKMzNmzDCmAPHy5UtjhYWFib8QgsHNmzeNZTKZrOsNGTIEgLdv3xpLpVJAUqxGY5HUoUOHMgBz5swx+O7dOwC+f/9uTNrIh1C9LQUCgEWLFgFJVbBp06a/b/bPmwQYNmwYECS5P0e7BELo/vjxozGFZF8qRGORaBaSlnN6mSwJLjkP0N3dDcD169eNSeavXr3amBxW2wng7t27QLLK+/PnDxAyPIT84LO48oiEIoSc58+NxyJyLO/E0jze2cX821fN3N/fb0w1vT9X/QDfA5BU37BhgzEVWQo2AJMnTwaSFrl8+TKQLN6isUg0C0m3trYCIV4D1NXVAXDp0qXww3QaCM4MIXv7jN3e3g6EHAPw4cMHAF68eGGspKQESG5pbVFtJ4Djx48Doc0EQdR69RCPRSSFVS9D0Es+627evBmAnp6erN9Nnz7d2MqVKxPfQXD80tJSY9JzatRB0Fh+J6ig8+pBgUf3gogsEs1CUvv3788ALF++3KDaN2qsARQVFQFw+PBhYxKS3sS9vb1A0tm1fXzGlmj0OUOZ/8uXL8a0zfz1dN81a9YYi8Yi1qDzrcsJEyYA8OTJE2MLFy4EYOrUqcaUqRsaGoxt3LgRSNbsOkaMGGGf1QlRuAZQ+9Z3ahSMfOhWmFbTECKySDQLSWt7+ApRtbB3sCNHjgDJgZC2hXrFEKS1r+ikGnbs2GHs4sWLQLJqVPaeN2+eMWX2VatWGZNo9CojHovogxwcQiNt7dq1xsrKyoDkfER6yb99OXR5ebkxWVhWgBA8FIYBLly4ACQtoiahQi4EZ/flQzQWiWYhaTng0aNHDapq80JNpvVyX+0bHxSU2detW2dMAyE/6Dl37hwAU6ZMMaZt5jO78pZ6Bv56nkVjkdSePXsykMy6W7ZsAcLKIcwsvNNpHu7ftJzTN+hUlPkiSmHXz8r1DH5moqAgS0MoJXzgicYi0SwkrSacn8xqji0RB6F9o+8g5B4v/NSt97lAv5s2bZox9Qp8k03nemdXDuro6DCmLb99+3Zj0VgkVVNTkwGora01ePv2bSDZ4vyv2YUCgHd2DUgl0yGUA94i6qzoLwQn9v+Eo+w9f/58Y3quwYMHG4vGItEsJL1t2zYgSGMIrZ9Bg8I61YLxLSI59K1bt4xJLLa0tBjT2K6zs9OYcorflso3ftKrStOP/NQHlsiEiCzyF8H/WzAM+zoeAAAAAElFTkSuQmCC\" y=\"180.4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_78\">\n",
       "    <path d=\"M 269.217391 181.878261 \n",
       "L 317.73913 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_79\">\n",
       "    <path d=\"M 269.217391 230.4 \n",
       "L 269.217391 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_80\">\n",
       "    <path d=\"M 269.217391 230.4 \n",
       "L 317.73913 230.4 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_81\">\n",
       "    <path d=\"M 317.73913 230.4 \n",
       "L 317.73913 181.878261 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_31\"/>\n",
       "   <g id=\"matplotlib.axis_32\"/>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p1face5cc79\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"181.87826087\" y=\"181.87826087\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pabd6c1d8b5\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"269.217391304\" y=\"7.2\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pc277c1a199\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"269.217391304\" y=\"65.4260869565\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p3a053d7fd5\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"269.217391304\" y=\"123.652173913\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p02b2b8561c\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"269.217391304\" y=\"181.87826087\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pd34e29fa31\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"7.2\" y=\"65.4260869565\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p3fb0dcabbd\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"94.5391304348\" y=\"123.652173913\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pc9cbead044\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"181.87826087\" y=\"123.652173913\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p823b93b99d\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"94.5391304348\" y=\"7.2\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p57f7ef9b6a\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"7.2\" y=\"181.87826087\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p2686eb402e\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"94.5391304348\" y=\"181.87826087\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p8613e09e24\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"7.2\" y=\"7.2\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pc94c4147db\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"181.87826087\" y=\"7.2\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pe3fb578b9c\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"94.5391304348\" y=\"65.4260869565\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p2101750aa1\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"181.87826087\" y=\"65.4260869565\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p970401eaab\">\n",
       "   <rect height=\"48.5217391304\" width=\"48.5217391304\" x=\"7.2\" y=\"123.652173913\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f489a3bde80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(4, 4)\n",
    "# use global min / max to ensure all weights are shown on the same scale\n",
    "vmin, vmax = clf.coefs_[0].min(), clf.coefs_[0].max()\n",
    "for coef, ax in zip(clf.coefs_[0].T, axes.ravel()):\n",
    "    ax.matshow(coef.reshape(20, 20), cmap=plt.cm.gray, vmin=.5 * vmin,\n",
    "               vmax=.5 * vmax)\n",
    "    ax.set_xticks(())\n",
    "    ax.set_yticks(())\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/robert/Programs/anaconda3/lib/python3.5/site-packages/sklearn/metrics/classification.py:1113: UndefinedMetricWarning: F-score is ill-defined and being set to 0.0 in labels with no predicted samples.\n",
      "  'precision', 'predicted', average, warn_for)\n",
      "/home/robert/Programs/anaconda3/lib/python3.5/site-packages/sklearn/metrics/classification.py:1115: UndefinedMetricWarning: F-score is ill-defined and being set to 0.0 in labels with no true samples.\n",
      "  'recall', 'true', average, warn_for)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.9538461538461539"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred = clf.predict(X_test)\n",
    "\n",
    "from sklearn.metrics import f1_score\n",
    "\n",
    "\n",
    "f1_score(y_pred=y_pred, y_true=y_test, average='macro')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.metrics import classification_report"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             precision    recall  f1-score   support\n",
      "\n",
      "          0       1.00      1.00      1.00         2\n",
      "          1       1.00      1.00      1.00         3\n",
      "          2       1.00      1.00      1.00         8\n",
      "          3       1.00      1.00      1.00         3\n",
      "          4       1.00      1.00      1.00         5\n",
      "          5       0.00      0.00      0.00         0\n",
      "          6       1.00      1.00      1.00         1\n",
      "          7       1.00      1.00      1.00         6\n",
      "          8       1.00      1.00      1.00         6\n",
      "          9       1.00      1.00      1.00         3\n",
      "         10       1.00      1.00      1.00         6\n",
      "         11       1.00      1.00      1.00         5\n",
      "         12       1.00      1.00      1.00         1\n",
      "         13       1.00      1.00      1.00         6\n",
      "         14       1.00      1.00      1.00         2\n",
      "         15       1.00      1.00      1.00         3\n",
      "         16       1.00      1.00      1.00         8\n",
      "         17       1.00      1.00      1.00         3\n",
      "         18       1.00      1.00      1.00         3\n",
      "         19       1.00      1.00      1.00         3\n",
      "         20       1.00      0.67      0.80         3\n",
      "         21       1.00      1.00      1.00         5\n",
      "         22       1.00      1.00      1.00         5\n",
      "         23       1.00      1.00      1.00         2\n",
      "         24       1.00      1.00      1.00         6\n",
      "         25       1.00      1.00      1.00         2\n",
      "\n",
      "avg / total       1.00      0.99      0.99       100\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/robert/Programs/anaconda3/lib/python3.5/site-packages/sklearn/metrics/classification.py:1113: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples.\n",
      "  'precision', 'predicted', average, warn_for)\n",
      "/home/robert/Programs/anaconda3/lib/python3.5/site-packages/sklearn/metrics/classification.py:1115: UndefinedMetricWarning: Recall and F-score are ill-defined and being set to 0.0 in labels with no true samples.\n",
      "  'recall', 'true', average, warn_for)\n"
     ]
    }
   ],
   "source": [
    "print(classification_report(y_pred=y_pred, y_true=y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def predict_captcha(captcha_image, neural_network):\n",
    "    subimages = segment_image(captcha_image)\n",
    "    dataset = np.array([tf.resize(subimage, (20, 20)) for subimage in subimages])\n",
    "    X_test = dataset.reshape((dataset.shape[0], dataset.shape[1] * dataset.shape[2]))\n",
    "\n",
    "    y_pred = neural_network.predict_proba(X_test)\n",
    "    predictions = np.argmax(y_pred, axis=1)\n",
    "    assert len(y_pred) == len(X_test)\n",
    "    predicted_word = str.join(\"\", [letters[prediction] for prediction in predictions])\n",
    "    return predicted_word"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<bound method MLPClassifier.predict_proba of MLPClassifier(activation='relu', alpha=0.0001, batch_size='auto', beta_1=0.9,\n",
       "       beta_2=0.999, early_stopping=False, epsilon=1e-08,\n",
       "       hidden_layer_sizes=(100,), learning_rate='constant',\n",
       "       learning_rate_init=0.001, max_iter=200, momentum=0.9,\n",
       "       nesterovs_momentum=True, power_t=0.5, random_state=14, shuffle=True,\n",
       "       solver='adam', tol=0.0001, validation_fraction=0.1, verbose=False,\n",
       "       warm_start=False)>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.predict_proba"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "GENE\n"
     ]
    }
   ],
   "source": [
    "word = \"GENE\"\n",
    "captcha = create_captcha(word, shear=0.2) \n",
    "print(predict_captcha(captcha, clf))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f4898222da0>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"131pt\" version=\"1.1\" viewBox=\"0 0 365 131\" width=\"365pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 131.683188 \n",
       "L 365.925 131.683188 \n",
       "L 365.925 0 \n",
       "L 0 0 \n",
       "L 0 131.683188 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 23.925 110.805063 \n",
       "L 358.725 110.805063 \n",
       "L 358.725 10.365063 \n",
       "L 23.925 10.365063 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p21bedec4dd)\">\n",
       "    <image height=\"101.0\" id=\"imageec147ad056\" width=\"336.0\" x=\"23.925\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"9.8050625\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 23.925 10.365063 \n",
       "L 358.725 10.365063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 23.925 110.805063 \n",
       "L 23.925 10.365063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 23.925 110.805063 \n",
       "L 358.725 110.805063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 358.725 110.805063 \n",
       "L 358.725 10.365063 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -4 \n",
       "\" id=\"m3fd640deaf\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.599\" xlink:href=\"#m3fd640deaf\" y=\"110.8050625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 4 \n",
       "\" id=\"m66bbf6035d\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.599\" xlink:href=\"#m66bbf6035d\" y=\"10.3650625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(22.41775 122.4035)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"92.559\" xlink:href=\"#m3fd640deaf\" y=\"110.8050625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"92.559\" xlink:href=\"#m66bbf6035d\" y=\"10.3650625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(86.1965 122.4035)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"159.519\" xlink:href=\"#m3fd640deaf\" y=\"110.8050625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"159.519\" xlink:href=\"#m66bbf6035d\" y=\"10.3650625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 40 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-34\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(153.1565 122.4035)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-34\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"226.479\" xlink:href=\"#m3fd640deaf\" y=\"110.8050625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"226.479\" xlink:href=\"#m66bbf6035d\" y=\"10.3650625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 60 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-36\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(220.1165 122.4035)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-36\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"293.439\" xlink:href=\"#m3fd640deaf\" y=\"110.8050625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"293.439\" xlink:href=\"#m66bbf6035d\" y=\"10.3650625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 80 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "\" id=\"BitstreamVeraSans-Roman-38\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(287.0765 122.4035)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-38\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 4 0 \n",
       "\" id=\"mdfeb040829\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mdfeb040829\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -4 0 \n",
       "\" id=\"mde096ffe14\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#mde096ffe14\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(13.5625 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mdfeb040829\" y=\"28.7790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#mde096ffe14\" y=\"28.7790625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(13.5625 31.5384375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mdfeb040829\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#mde096ffe14\" y=\"45.5190625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 48.2784375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mdfeb040829\" y=\"62.2590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#mde096ffe14\" y=\"62.2590625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(7.2 65.0184375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mdfeb040829\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#mde096ffe14\" y=\"78.9990625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(7.2 81.7584375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#mdfeb040829\" y=\"95.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#mde096ffe14\" y=\"95.7390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(7.2 98.4984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p21bedec4dd\">\n",
       "   <rect height=\"100.44\" width=\"334.8\" x=\"23.925\" y=\"10.3650625\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f489827bb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(captcha, cmap=\"Greys\") "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"151pt\" version=\"1.1\" viewBox=\"0 0 589 151\" width=\"589pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 151.188927 \n",
       "L 589.125 151.188927 \n",
       "L 589.125 0 \n",
       "L 0 0 \n",
       "L 0 151.188927 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 23.925 130.310802 \n",
       "L 145.229348 130.310802 \n",
       "L 145.229348 9.006454 \n",
       "L 23.925 9.006454 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pfa147a3fc0)\">\n",
       "    <image height=\"122.0\" id=\"imaged1fb232e7a\" width=\"122.0\" x=\"23.925\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.31080163043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 23.925 9.006454 \n",
       "L 145.229348 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 23.925 130.310802 \n",
       "L 23.925 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 23.925 130.310802 \n",
       "L 145.229348 130.310802 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 145.229348 130.310802 \n",
       "L 145.229348 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -4 \n",
       "\" id=\"mf12f350cad\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.9576086957\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 4 \n",
       "\" id=\"m7fc1419070\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.9576086957\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(23.7763586957 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"57.2836956522\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"57.2836956522\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(54.1024456522 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"87.6097826087\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"87.6097826087\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(81.2472826087 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"117.935869565\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"117.935869565\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(111.573369565 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 4 0 \n",
       "\" id=\"m1688cbf857\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m1688cbf857\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -4 0 \n",
       "\" id=\"mc8661f710f\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#mc8661f710f\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(13.5625 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m1688cbf857\" y=\"42.3651494565\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#mc8661f710f\" y=\"42.3651494565\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(13.5625 45.1245244565)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m1688cbf857\" y=\"72.691236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#mc8661f710f\" y=\"72.691236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(7.2 75.450611413)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m1688cbf857\" y=\"103.01732337\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"145.229347826\" xlink:href=\"#mc8661f710f\" y=\"103.01732337\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(7.2 105.77669837)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 169.490217 130.310802 \n",
       "L 290.794565 130.310802 \n",
       "L 290.794565 9.006454 \n",
       "L 169.490217 9.006454 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p43f1a6b006)\">\n",
       "    <image height=\"122.0\" id=\"image8a487bd303\" width=\"123.0\" x=\"169.490217391\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.31080163043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 169.490217 9.006454 \n",
       "L 290.794565 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 169.490217 130.310802 \n",
       "L 169.490217 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 169.490217 130.310802 \n",
       "L 290.794565 130.310802 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 290.794565 130.310802 \n",
       "L 290.794565 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"172.522826087\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"172.522826087\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(169.341576087 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"202.848913043\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"202.848913043\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(199.667663043 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"233.175\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"233.175\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(226.8125 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"263.501086957\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"263.501086957\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(257.138586957 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m1688cbf857\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#mc8661f710f\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(159.127717391 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m1688cbf857\" y=\"42.3651494565\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#mc8661f710f\" y=\"42.3651494565\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(159.127717391 45.1245244565)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m1688cbf857\" y=\"72.691236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#mc8661f710f\" y=\"72.691236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(152.765217391 75.450611413)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"169.490217391\" xlink:href=\"#m1688cbf857\" y=\"103.01732337\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.794565217\" xlink:href=\"#mc8661f710f\" y=\"103.01732337\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(152.765217391 105.77669837)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_3\">\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 315.055435 130.310802 \n",
       "L 436.359783 130.310802 \n",
       "L 436.359783 9.006454 \n",
       "L 315.055435 9.006454 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p12e8c8ba12)\">\n",
       "    <image height=\"122.0\" id=\"imagea86225ec06\" width=\"122.0\" x=\"315.055434783\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.31080163043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path d=\"M 315.055435 9.006454 \n",
       "L 436.359783 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path d=\"M 315.055435 130.310802 \n",
       "L 315.055435 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 315.055435 130.310802 \n",
       "L 436.359783 130.310802 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 436.359783 130.310802 \n",
       "L 436.359783 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_5\">\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"318.088043478\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"318.088043478\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(314.906793478 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"348.414130435\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"348.414130435\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(345.232880435 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"378.740217391\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"378.740217391\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(372.377717391 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"409.066304348\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"409.066304348\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(402.703804348 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_6\">\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m1688cbf857\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#mc8661f710f\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(304.692934783 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m1688cbf857\" y=\"42.3651494565\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#mc8661f710f\" y=\"42.3651494565\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_22\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(304.692934783 45.1245244565)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m1688cbf857\" y=\"72.691236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_46\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#mc8661f710f\" y=\"72.691236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_23\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(298.330434783 75.450611413)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_47\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"315.055434783\" xlink:href=\"#m1688cbf857\" y=\"103.01732337\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_48\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.359782609\" xlink:href=\"#mc8661f710f\" y=\"103.01732337\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_24\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(298.330434783 105.77669837)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_4\">\n",
       "   <g id=\"patch_17\">\n",
       "    <path d=\"M 460.620652 130.310802 \n",
       "L 581.925 130.310802 \n",
       "L 581.925 9.006454 \n",
       "L 460.620652 9.006454 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p39ef45eef7)\">\n",
       "    <image height=\"122.0\" id=\"image0f25c377ff\" width=\"122.0\" x=\"460.620652174\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"8.31080163043\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_18\">\n",
       "    <path d=\"M 460.620652 9.006454 \n",
       "L 581.925 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_19\">\n",
       "    <path d=\"M 460.620652 130.310802 \n",
       "L 460.620652 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_20\">\n",
       "    <path d=\"M 460.620652 130.310802 \n",
       "L 581.925 130.310802 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_21\">\n",
       "    <path d=\"M 581.925 130.310802 \n",
       "L 581.925 9.006454 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_7\">\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_49\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"463.65326087\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_50\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"463.65326087\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_25\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(460.47201087 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_14\">\n",
       "     <g id=\"line2d_51\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"493.979347826\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_52\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"493.979347826\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_26\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(490.798097826 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_15\">\n",
       "     <g id=\"line2d_53\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"524.305434783\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_54\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"524.305434783\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_27\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(517.942934783 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_16\">\n",
       "     <g id=\"line2d_55\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"554.631521739\" xlink:href=\"#mf12f350cad\" y=\"130.31080163\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_56\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"554.631521739\" xlink:href=\"#m7fc1419070\" y=\"9.00645380435\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_28\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(548.269021739 141.90923913)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_8\">\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_57\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m1688cbf857\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_58\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#mc8661f710f\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_29\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(450.258152174 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_59\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m1688cbf857\" y=\"42.3651494565\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_60\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#mc8661f710f\" y=\"42.3651494565\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_30\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(450.258152174 45.1245244565)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_15\">\n",
       "     <g id=\"line2d_61\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m1688cbf857\" y=\"72.691236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_62\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#mc8661f710f\" y=\"72.691236413\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_31\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(443.895652174 75.450611413)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_16\">\n",
       "     <g id=\"line2d_63\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"460.620652174\" xlink:href=\"#m1688cbf857\" y=\"103.01732337\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_64\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"581.925\" xlink:href=\"#mc8661f710f\" y=\"103.01732337\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_32\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(443.895652174 105.77669837)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pfa147a3fc0\">\n",
       "   <rect height=\"121.304347826\" width=\"121.304347826\" x=\"23.925\" y=\"9.00645380435\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p43f1a6b006\">\n",
       "   <rect height=\"121.304347826\" width=\"121.304347826\" x=\"169.490217391\" y=\"9.00645380435\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p39ef45eef7\">\n",
       "   <rect height=\"121.304347826\" width=\"121.304347826\" x=\"460.620652174\" y=\"9.00645380435\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p12e8c8ba12\">\n",
       "   <rect height=\"121.304347826\" width=\"121.304347826\" x=\"315.055434783\" y=\"9.00645380435\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f489aafc748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "subimages = segment_image(captcha)\n",
    "f, axes = plt.subplots(1, len(subimages), figsize=(10, 3)) \n",
    "for i in range(len(subimages)): \n",
    "    axes[i].imshow(tf.resize(subimages[i], (20,20)), cmap=\"gray\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f4898071908>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"156pt\" version=\"1.1\" viewBox=\"0 0 365 156\" width=\"365pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 156.564915 \n",
       "L 365.925 156.564915 \n",
       "L 365.925 0 \n",
       "L 0 0 \n",
       "L 0 156.564915 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 23.925 135.68679 \n",
       "L 358.725 135.68679 \n",
       "L 358.725 10.13679 \n",
       "L 23.925 10.13679 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#pe58cea0715)\">\n",
       "    <image height=\"126.0\" id=\"image8b1e87c010\" width=\"336.0\" x=\"23.925\" xlink:href=\"data:image/png;base64,\n",
       "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\" y=\"9.68678977273\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 23.925 10.13679 \n",
       "L 358.725 10.13679 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 23.925 135.68679 \n",
       "L 23.925 10.13679 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 23.925 135.68679 \n",
       "L 358.725 135.68679 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 358.725 135.68679 \n",
       "L 358.725 10.13679 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -4 \n",
       "\" id=\"mb8609cf533\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.8272727273\" xlink:href=\"#mb8609cf533\" y=\"135.686789773\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 4 \n",
       "\" id=\"m6181226b34\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.8272727273\" xlink:href=\"#m6181226b34\" y=\"10.1367897727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(22.6460227273 147.285227273)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"63.8727272727\" xlink:href=\"#mb8609cf533\" y=\"135.686789773\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"63.8727272727\" xlink:href=\"#m6181226b34\" y=\"10.1367897727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(57.5102272727 147.285227273)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"101.918181818\" xlink:href=\"#mb8609cf533\" y=\"135.686789773\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"101.918181818\" xlink:href=\"#m6181226b34\" y=\"10.1367897727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(95.5556818182 147.285227273)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"139.963636364\" xlink:href=\"#mb8609cf533\" y=\"135.686789773\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"139.963636364\" xlink:href=\"#m6181226b34\" y=\"10.1367897727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 30 -->\n",
       "      <defs>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "\" id=\"BitstreamVeraSans-Roman-33\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(133.601136364 147.285227273)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"178.009090909\" xlink:href=\"#mb8609cf533\" y=\"135.686789773\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"178.009090909\" xlink:href=\"#m6181226b34\" y=\"10.1367897727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 40 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-34\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(171.646590909 147.285227273)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-34\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"216.054545455\" xlink:href=\"#mb8609cf533\" y=\"135.686789773\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"216.054545455\" xlink:href=\"#m6181226b34\" y=\"10.1367897727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 50 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(209.692045455 147.285227273)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"254.1\" xlink:href=\"#mb8609cf533\" y=\"135.686789773\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"254.1\" xlink:href=\"#m6181226b34\" y=\"10.1367897727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 60 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "\" id=\"BitstreamVeraSans-Roman-36\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(247.7375 147.285227273)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-36\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"292.145454545\" xlink:href=\"#mb8609cf533\" y=\"135.686789773\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"292.145454545\" xlink:href=\"#m6181226b34\" y=\"10.1367897727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 70 -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"BitstreamVeraSans-Roman-37\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(285.782954545 147.285227273)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-37\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"330.190909091\" xlink:href=\"#mb8609cf533\" y=\"135.686789773\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"330.190909091\" xlink:href=\"#m6181226b34\" y=\"10.1367897727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 80 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "\" id=\"BitstreamVeraSans-Roman-38\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(323.828409091 147.285227273)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-38\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 4 0 \n",
       "\" id=\"m3a2e7ee827\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m3a2e7ee827\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -4 0 \n",
       "\" id=\"m67feb68304\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#m67feb68304\" y=\"12.0390625\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(13.5625 14.7984375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m3a2e7ee827\" y=\"31.0617897727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#m67feb68304\" y=\"31.0617897727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(13.5625 33.8211647727)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m3a2e7ee827\" y=\"50.0845170455\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#m67feb68304\" y=\"50.0845170455\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(7.2 52.8438920455)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m3a2e7ee827\" y=\"69.1072443182\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#m67feb68304\" y=\"69.1072443182\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(7.2 71.8666193182)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m3a2e7ee827\" y=\"88.1299715909\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#m67feb68304\" y=\"88.1299715909\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(7.2 90.8893465909)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m3a2e7ee827\" y=\"107.152698864\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#m67feb68304\" y=\"107.152698864\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(7.2 109.912073864)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"23.925\" xlink:href=\"#m3a2e7ee827\" y=\"126.175426136\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"358.725\" xlink:href=\"#m67feb68304\" y=\"126.175426136\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 30 -->\n",
       "      <g transform=\"translate(7.2 128.934801136)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
       "       <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pe58cea0715\">\n",
       "   <rect height=\"125.55\" width=\"334.8\" x=\"23.925\" y=\"10.1367897727\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f489abcd438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "image = create_captcha(word, shear=0.2, scale=1.1, size=(len(word) * 20, 30))\n",
    "plt.imshow(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def test_prediction(word, net, shear=0.2, scale=1):\n",
    "    captcha = create_captcha(word, shear=shear, scale=scale, size=(len(word) * 20, 30))\n",
    "    prediction = predict_captcha(captcha, net)\n",
    "    return word == prediction, word, prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from nltk.corpus import words"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "valid_words = [word.upper() for word in words.words() if len(word) == 4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "if False:\n",
    "    correct = 0\n",
    "    incorrect = 0\n",
    "\n",
    "    for word in valid_words:\n",
    "        shear = random_state.choice(shear_values)\n",
    "        scale = random_state.choice(scale_values)\n",
    "        subimages = create_captcha(word, shear=shear, scale=scale, size=(30, len(word) * 25))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number correct is 3469\n",
      "Number incorrect is 2044\n"
     ]
    }
   ],
   "source": [
    "num_correct = 0 \n",
    "num_incorrect = 0 \n",
    "for word in valid_words: \n",
    "    shear = random_state.choice(shear_values)\n",
    "    scale = random_state.choice(scale_values)\n",
    "    correct, word, prediction = test_prediction(word, clf, shear=shear, scale=scale)\n",
    "    #print(correct, word, prediction)\n",
    "    if correct: \n",
    "        num_correct += 1 \n",
    "    else: \n",
    "        num_incorrect += 1\n",
    "        #if len(prediction) == len(word):\n",
    "        #    print(word, prediction)\n",
    "print(\"Number correct is {0}\".format(num_correct)) \n",
    "print(\"Number incorrect is {0}\".format(num_incorrect))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "correct"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6292399782332668"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p = num_correct/(num_correct+num_incorrect)\n",
    "p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.96059601"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.99 ** 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def evaluation_versus_shear(shear_value):\n",
    "    print(shear_value)\n",
    "    num_correct = 0 \n",
    "    num_incorrect = 0 \n",
    "    for word in valid_words: \n",
    "        scale = random_state.choice(scale_values)\n",
    "        correct, word, prediction = test_prediction(word, clf, shear=shear_value, scale=scale)\n",
    "        #print(correct, word, prediction)\n",
    "        if correct: \n",
    "            num_correct += 1 \n",
    "        else: \n",
    "            num_incorrect += 1\n",
    "    return num_correct/(num_correct+num_incorrect)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0\n",
      "0.05\n",
      "0.1\n",
      "0.15\n",
      "0.2\n",
      "0.25\n",
      "0.3\n",
      "0.35\n",
      "0.4\n",
      "0.45\n",
      "0.5\n",
      "0.55\n",
      "0.6\n",
      "0.65\n",
      "0.7\n",
      "0.75\n"
     ]
    }
   ],
   "source": [
    "scores = [evaluation_versus_shear(shear) for shear in shear_values]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"425pt\" version=\"1.1\" viewBox=\"0 0 600 425\" width=\"600pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:100000;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M -0 425.982812 \n",
       "L 600.25 425.982812 \n",
       "L 600.25 0 \n",
       "L -0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 28.1 402.460938 \n",
       "L 586.1 402.460938 \n",
       "L 586.1 11.860937 \n",
       "L 28.1 11.860937 \n",
       "z\n",
       "\" style=\"fill:#eaeaf2;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 28.1 402.460938 \n",
       "L 28.1 11.860937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 0 \n",
       "\" id=\"mc147b927fd\" style=\"stroke:#262626;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"28.1\" xlink:href=\"#mc147b927fd\" y=\"402.4609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"28.1\" xlink:href=\"#mc147b927fd\" y=\"11.8609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 9.125 0 \n",
       "L 9.125 10.6875 \n",
       "L 18.65625 10.6875 \n",
       "L 18.65625 0 \n",
       "z\n",
       "\" id=\"LiberationSans-2e\"/>\n",
       "       <path d=\"M 51.703125 34.421875 \n",
       "Q 51.703125 24.515625 49.828125 17.75 \n",
       "Q 47.953125 10.984375 44.703125 6.8125 \n",
       "Q 41.453125 2.640625 37.0625 0.828125 \n",
       "Q 32.671875 -0.984375 27.6875 -0.984375 \n",
       "Q 22.65625 -0.984375 18.3125 0.828125 \n",
       "Q 13.96875 2.640625 10.765625 6.78125 \n",
       "Q 7.5625 10.9375 5.734375 17.703125 \n",
       "Q 3.90625 24.46875 3.90625 34.421875 \n",
       "Q 3.90625 44.828125 5.734375 51.640625 \n",
       "Q 7.5625 58.453125 10.78125 62.5 \n",
       "Q 14.015625 66.546875 18.40625 68.1875 \n",
       "Q 22.796875 69.828125 27.984375 69.828125 \n",
       "Q 32.90625 69.828125 37.21875 68.1875 \n",
       "Q 41.546875 66.546875 44.765625 62.5 \n",
       "Q 48 58.453125 49.84375 51.640625 \n",
       "Q 51.703125 44.828125 51.703125 34.421875 \n",
       "M 42.78125 34.421875 \n",
       "Q 42.78125 42.625 41.796875 48.0625 \n",
       "Q 40.828125 53.515625 38.921875 56.765625 \n",
       "Q 37.015625 60.015625 34.25 61.359375 \n",
       "Q 31.5 62.703125 27.984375 62.703125 \n",
       "Q 24.265625 62.703125 21.4375 61.328125 \n",
       "Q 18.609375 59.96875 16.671875 56.71875 \n",
       "Q 14.75 53.46875 13.765625 48.015625 \n",
       "Q 12.796875 42.578125 12.796875 34.421875 \n",
       "Q 12.796875 26.515625 13.796875 21.09375 \n",
       "Q 14.796875 15.671875 16.71875 12.375 \n",
       "Q 18.65625 9.078125 21.4375 7.640625 \n",
       "Q 24.21875 6.203125 27.78125 6.203125 \n",
       "Q 31.25 6.203125 34.03125 7.640625 \n",
       "Q 36.8125 9.078125 38.734375 12.375 \n",
       "Q 40.671875 15.671875 41.71875 21.09375 \n",
       "Q 42.78125 26.515625 42.78125 34.421875 \n",
       "\" id=\"LiberationSans-30\"/>\n",
       "      </defs>\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(21.15 416.7078125)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 97.85 402.460938 \n",
       "L 97.85 11.860937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"97.85\" xlink:href=\"#mc147b927fd\" y=\"402.4609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"97.85\" xlink:href=\"#mc147b927fd\" y=\"11.8609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 0.1 -->\n",
       "      <defs>\n",
       "       <path d=\"M 7.625 0 \n",
       "L 7.625 7.46875 \n",
       "L 25.140625 7.46875 \n",
       "L 25.140625 60.40625 \n",
       "L 9.625 49.3125 \n",
       "L 9.625 57.625 \n",
       "L 25.875 68.796875 \n",
       "L 33.984375 68.796875 \n",
       "L 33.984375 7.46875 \n",
       "L 50.734375 7.46875 \n",
       "L 50.734375 0 \n",
       "z\n",
       "\" id=\"LiberationSans-31\"/>\n",
       "      </defs>\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(90.9 416.7078125)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-31\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 167.6 402.460938 \n",
       "L 167.6 11.860937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"167.6\" xlink:href=\"#mc147b927fd\" y=\"402.4609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"167.6\" xlink:href=\"#mc147b927fd\" y=\"11.8609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 0.2 -->\n",
       "      <defs>\n",
       "       <path d=\"M 5.03125 0 \n",
       "L 5.03125 6.203125 \n",
       "Q 7.515625 11.921875 11.109375 16.28125 \n",
       "Q 14.703125 20.65625 18.65625 24.1875 \n",
       "Q 22.609375 27.734375 26.484375 30.765625 \n",
       "Q 30.375 33.796875 33.5 36.8125 \n",
       "Q 36.625 39.84375 38.546875 43.15625 \n",
       "Q 40.484375 46.484375 40.484375 50.6875 \n",
       "Q 40.484375 53.609375 39.59375 55.828125 \n",
       "Q 38.71875 58.0625 37.0625 59.5625 \n",
       "Q 35.40625 61.078125 33.078125 61.828125 \n",
       "Q 30.765625 62.59375 27.9375 62.59375 \n",
       "Q 25.296875 62.59375 22.96875 61.859375 \n",
       "Q 20.65625 61.140625 18.84375 59.671875 \n",
       "Q 17.046875 58.203125 15.890625 56.03125 \n",
       "Q 14.75 53.859375 14.40625 50.984375 \n",
       "L 5.421875 51.8125 \n",
       "Q 5.859375 55.515625 7.46875 58.78125 \n",
       "Q 9.078125 62.0625 11.90625 64.53125 \n",
       "Q 14.75 67 18.71875 68.40625 \n",
       "Q 22.703125 69.828125 27.9375 69.828125 \n",
       "Q 33.0625 69.828125 37.0625 68.609375 \n",
       "Q 41.0625 67.390625 43.8125 64.984375 \n",
       "Q 46.578125 62.59375 48.046875 59.078125 \n",
       "Q 49.515625 55.5625 49.515625 50.984375 \n",
       "Q 49.515625 47.515625 48.265625 44.390625 \n",
       "Q 47.015625 41.265625 44.9375 38.421875 \n",
       "Q 42.875 35.59375 40.140625 32.953125 \n",
       "Q 37.40625 30.328125 34.421875 27.8125 \n",
       "Q 31.453125 25.296875 28.421875 22.828125 \n",
       "Q 25.390625 20.359375 22.71875 17.859375 \n",
       "Q 20.0625 15.375 17.96875 12.8125 \n",
       "Q 15.875 10.25 14.703125 7.46875 \n",
       "L 50.59375 7.46875 \n",
       "L 50.59375 0 \n",
       "z\n",
       "\" id=\"LiberationSans-32\"/>\n",
       "      </defs>\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(160.65 416.7078125)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-32\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 237.35 402.460938 \n",
       "L 237.35 11.860937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"237.35\" xlink:href=\"#mc147b927fd\" y=\"402.4609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"237.35\" xlink:href=\"#mc147b927fd\" y=\"11.8609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 0.3 -->\n",
       "      <defs>\n",
       "       <path d=\"M 51.21875 19 \n",
       "Q 51.21875 14.265625 49.671875 10.546875 \n",
       "Q 48.140625 6.84375 45.1875 4.265625 \n",
       "Q 42.234375 1.703125 37.859375 0.359375 \n",
       "Q 33.5 -0.984375 27.875 -0.984375 \n",
       "Q 21.484375 -0.984375 17.109375 0.609375 \n",
       "Q 12.75 2.203125 9.90625 4.8125 \n",
       "Q 7.078125 7.421875 5.65625 10.765625 \n",
       "Q 4.25 14.109375 3.8125 17.671875 \n",
       "L 12.890625 18.5 \n",
       "Q 13.28125 15.765625 14.328125 13.515625 \n",
       "Q 15.375 11.28125 17.1875 9.671875 \n",
       "Q 19 8.0625 21.625 7.171875 \n",
       "Q 24.265625 6.296875 27.875 6.296875 \n",
       "Q 34.515625 6.296875 38.296875 9.5625 \n",
       "Q 42.09375 12.84375 42.09375 19.28125 \n",
       "Q 42.09375 23.09375 40.40625 25.40625 \n",
       "Q 38.71875 27.734375 36.203125 29.03125 \n",
       "Q 33.6875 30.328125 30.734375 30.765625 \n",
       "Q 27.78125 31.203125 25.296875 31.203125 \n",
       "L 20.3125 31.203125 \n",
       "L 20.3125 38.8125 \n",
       "L 25.09375 38.8125 \n",
       "Q 27.59375 38.8125 30.265625 39.328125 \n",
       "Q 32.953125 39.84375 35.171875 41.1875 \n",
       "Q 37.40625 42.53125 38.84375 44.828125 \n",
       "Q 40.28125 47.125 40.28125 50.6875 \n",
       "Q 40.28125 56.203125 37.03125 59.390625 \n",
       "Q 33.796875 62.59375 27.390625 62.59375 \n",
       "Q 21.578125 62.59375 17.984375 59.609375 \n",
       "Q 14.40625 56.640625 13.8125 51.21875 \n",
       "L 4.984375 51.90625 \n",
       "Q 5.515625 56.453125 7.46875 59.8125 \n",
       "Q 9.421875 63.1875 12.421875 65.40625 \n",
       "Q 15.4375 67.625 19.28125 68.71875 \n",
       "Q 23.140625 69.828125 27.484375 69.828125 \n",
       "Q 33.25 69.828125 37.390625 68.375 \n",
       "Q 41.546875 66.9375 44.1875 64.46875 \n",
       "Q 46.828125 62.015625 48.0625 58.6875 \n",
       "Q 49.3125 55.375 49.3125 51.609375 \n",
       "Q 49.3125 48.578125 48.484375 45.9375 \n",
       "Q 47.65625 43.3125 45.890625 41.203125 \n",
       "Q 44.140625 39.109375 41.421875 37.59375 \n",
       "Q 38.71875 36.078125 34.90625 35.296875 \n",
       "L 34.90625 35.109375 \n",
       "Q 39.0625 34.671875 42.140625 33.21875 \n",
       "Q 45.21875 31.78125 47.21875 29.625 \n",
       "Q 49.21875 27.484375 50.21875 24.75 \n",
       "Q 51.21875 22.015625 51.21875 19 \n",
       "\" id=\"LiberationSans-33\"/>\n",
       "      </defs>\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(230.4 416.7078125)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-33\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 307.1 402.460938 \n",
       "L 307.1 11.860937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"307.1\" xlink:href=\"#mc147b927fd\" y=\"402.4609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"307.1\" xlink:href=\"#mc147b927fd\" y=\"11.8609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0.4 -->\n",
       "      <defs>\n",
       "       <path d=\"M 43.015625 15.578125 \n",
       "L 43.015625 0 \n",
       "L 34.71875 0 \n",
       "L 34.71875 15.578125 \n",
       "L 2.296875 15.578125 \n",
       "L 2.296875 22.40625 \n",
       "L 33.796875 68.796875 \n",
       "L 43.015625 68.796875 \n",
       "L 43.015625 22.515625 \n",
       "L 52.6875 22.515625 \n",
       "L 52.6875 15.578125 \n",
       "z\n",
       "M 34.71875 58.890625 \n",
       "Q 34.625 58.640625 34.234375 57.9375 \n",
       "Q 33.84375 57.234375 33.34375 56.34375 \n",
       "Q 32.859375 55.46875 32.34375 54.5625 \n",
       "Q 31.84375 53.65625 31.453125 53.078125 \n",
       "L 13.8125 27.09375 \n",
       "Q 13.578125 26.703125 13.109375 26.0625 \n",
       "Q 12.640625 25.4375 12.15625 24.78125 \n",
       "Q 11.671875 24.125 11.171875 23.484375 \n",
       "Q 10.6875 22.859375 10.40625 22.515625 \n",
       "L 34.71875 22.515625 \n",
       "z\n",
       "\" id=\"LiberationSans-34\"/>\n",
       "      </defs>\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(300.15 416.7078125)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-34\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 376.85 402.460938 \n",
       "L 376.85 11.860937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"376.85\" xlink:href=\"#mc147b927fd\" y=\"402.4609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"376.85\" xlink:href=\"#mc147b927fd\" y=\"11.8609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 0.5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 51.421875 22.40625 \n",
       "Q 51.421875 17.234375 49.859375 12.9375 \n",
       "Q 48.296875 8.640625 45.21875 5.53125 \n",
       "Q 42.140625 2.4375 37.578125 0.71875 \n",
       "Q 33.015625 -0.984375 27 -0.984375 \n",
       "Q 21.578125 -0.984375 17.546875 0.28125 \n",
       "Q 13.53125 1.5625 10.734375 3.78125 \n",
       "Q 7.953125 6 6.3125 8.984375 \n",
       "Q 4.6875 11.96875 4 15.375 \n",
       "L 12.890625 16.40625 \n",
       "Q 13.421875 14.453125 14.390625 12.625 \n",
       "Q 15.375 10.796875 17.0625 9.34375 \n",
       "Q 18.75 7.90625 21.21875 7.046875 \n",
       "Q 23.6875 6.203125 27.203125 6.203125 \n",
       "Q 30.609375 6.203125 33.390625 7.25 \n",
       "Q 36.1875 8.296875 38.15625 10.34375 \n",
       "Q 40.140625 12.40625 41.203125 15.375 \n",
       "Q 42.28125 18.359375 42.28125 22.21875 \n",
       "Q 42.28125 25.390625 41.25 28.046875 \n",
       "Q 40.234375 30.71875 38.328125 32.640625 \n",
       "Q 36.421875 34.578125 33.65625 35.640625 \n",
       "Q 30.90625 36.71875 27.390625 36.71875 \n",
       "Q 25.203125 36.71875 23.34375 36.328125 \n",
       "Q 21.484375 35.9375 19.890625 35.25 \n",
       "Q 18.3125 34.578125 17.015625 33.671875 \n",
       "Q 15.71875 32.765625 14.59375 31.78125 \n",
       "L 6 31.78125 \n",
       "L 8.296875 68.796875 \n",
       "L 47.40625 68.796875 \n",
       "L 47.40625 61.328125 \n",
       "L 16.3125 61.328125 \n",
       "L 14.984375 39.5 \n",
       "Q 17.328125 41.3125 20.84375 42.59375 \n",
       "Q 24.359375 43.890625 29.203125 43.890625 \n",
       "Q 34.328125 43.890625 38.421875 42.328125 \n",
       "Q 42.53125 40.765625 45.40625 37.90625 \n",
       "Q 48.296875 35.0625 49.859375 31.109375 \n",
       "Q 51.421875 27.15625 51.421875 22.40625 \n",
       "\" id=\"LiberationSans-35\"/>\n",
       "      </defs>\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(369.9 416.7078125)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 446.6 402.460938 \n",
       "L 446.6 11.860937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"446.6\" xlink:href=\"#mc147b927fd\" y=\"402.4609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"446.6\" xlink:href=\"#mc147b927fd\" y=\"11.8609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0.6 -->\n",
       "      <defs>\n",
       "       <path d=\"M 51.21875 22.515625 \n",
       "Q 51.21875 17.328125 49.78125 13 \n",
       "Q 48.34375 8.6875 45.53125 5.578125 \n",
       "Q 42.71875 2.484375 38.5625 0.75 \n",
       "Q 34.421875 -0.984375 29 -0.984375 \n",
       "Q 23 -0.984375 18.5 1.3125 \n",
       "Q 14.015625 3.609375 11.03125 7.921875 \n",
       "Q 8.0625 12.25 6.5625 18.53125 \n",
       "Q 5.078125 24.8125 5.078125 32.8125 \n",
       "Q 5.078125 42 6.765625 48.921875 \n",
       "Q 8.453125 55.859375 11.625 60.5 \n",
       "Q 14.796875 65.140625 19.359375 67.484375 \n",
       "Q 23.921875 69.828125 29.6875 69.828125 \n",
       "Q 33.203125 69.828125 36.28125 69.09375 \n",
       "Q 39.359375 68.359375 41.875 66.71875 \n",
       "Q 44.390625 65.09375 46.28125 62.40625 \n",
       "Q 48.1875 59.71875 49.3125 55.8125 \n",
       "L 40.921875 54.296875 \n",
       "Q 39.546875 58.734375 36.546875 60.71875 \n",
       "Q 33.546875 62.703125 29.59375 62.703125 \n",
       "Q 25.984375 62.703125 23.046875 60.984375 \n",
       "Q 20.125 59.28125 18.0625 55.875 \n",
       "Q 16.015625 52.484375 14.90625 47.359375 \n",
       "Q 13.8125 42.234375 13.8125 35.40625 \n",
       "Q 16.21875 39.84375 20.5625 42.15625 \n",
       "Q 24.90625 44.484375 30.515625 44.484375 \n",
       "Q 35.203125 44.484375 39.015625 42.96875 \n",
       "Q 42.828125 41.453125 45.53125 38.59375 \n",
       "Q 48.25 35.75 49.734375 31.671875 \n",
       "Q 51.21875 27.59375 51.21875 22.515625 \n",
       "M 42.28125 22.125 \n",
       "Q 42.28125 25.6875 41.40625 28.5625 \n",
       "Q 40.53125 31.453125 38.765625 33.46875 \n",
       "Q 37.015625 35.5 34.421875 36.59375 \n",
       "Q 31.84375 37.703125 28.421875 37.703125 \n",
       "Q 26.03125 37.703125 23.578125 36.984375 \n",
       "Q 21.140625 36.28125 19.15625 34.6875 \n",
       "Q 17.1875 33.109375 15.9375 30.515625 \n",
       "Q 14.703125 27.9375 14.703125 24.21875 \n",
       "Q 14.703125 20.40625 15.671875 17.109375 \n",
       "Q 16.65625 13.8125 18.484375 11.375 \n",
       "Q 20.3125 8.9375 22.890625 7.515625 \n",
       "Q 25.484375 6.109375 28.71875 6.109375 \n",
       "Q 31.890625 6.109375 34.40625 7.203125 \n",
       "Q 36.921875 8.296875 38.671875 10.375 \n",
       "Q 40.4375 12.453125 41.359375 15.421875 \n",
       "Q 42.28125 18.40625 42.28125 22.125 \n",
       "\" id=\"LiberationSans-36\"/>\n",
       "      </defs>\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(439.65 416.7078125)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-36\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_22\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 516.35 402.460938 \n",
       "L 516.35 11.860937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"516.35\" xlink:href=\"#mc147b927fd\" y=\"402.4609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"516.35\" xlink:href=\"#mc147b927fd\" y=\"11.8609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.7 -->\n",
       "      <defs>\n",
       "       <path d=\"M 50.59375 61.671875 \n",
       "Q 45.40625 53.765625 41.0625 46.453125 \n",
       "Q 36.71875 39.15625 33.59375 31.75 \n",
       "Q 30.46875 24.359375 28.734375 16.578125 \n",
       "Q 27 8.796875 27 0 \n",
       "L 17.828125 0 \n",
       "Q 17.828125 8.25 19.78125 16.1875 \n",
       "Q 21.734375 24.125 25.046875 31.765625 \n",
       "Q 28.375 39.40625 32.765625 46.78125 \n",
       "Q 37.15625 54.15625 42.09375 61.328125 \n",
       "L 5.125 61.328125 \n",
       "L 5.125 68.796875 \n",
       "L 50.59375 68.796875 \n",
       "z\n",
       "\" id=\"LiberationSans-37\"/>\n",
       "      </defs>\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(509.4 416.7078125)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-37\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 586.1 402.460938 \n",
       "L 586.1 11.860937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"586.1\" xlink:href=\"#mc147b927fd\" y=\"402.4609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"586.1\" xlink:href=\"#mc147b927fd\" y=\"11.8609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0.8 -->\n",
       "      <defs>\n",
       "       <path d=\"M 51.265625 19.1875 \n",
       "Q 51.265625 14.796875 49.875 11.109375 \n",
       "Q 48.484375 7.421875 45.625 4.734375 \n",
       "Q 42.78125 2.046875 38.328125 0.53125 \n",
       "Q 33.890625 -0.984375 27.828125 -0.984375 \n",
       "Q 21.78125 -0.984375 17.359375 0.53125 \n",
       "Q 12.9375 2.046875 10.03125 4.703125 \n",
       "Q 7.125 7.375 5.734375 11.0625 \n",
       "Q 4.34375 14.75 4.34375 19.09375 \n",
       "Q 4.34375 22.859375 5.484375 25.78125 \n",
       "Q 6.640625 28.71875 8.5625 30.828125 \n",
       "Q 10.5 32.953125 12.96875 34.25 \n",
       "Q 15.4375 35.546875 18.0625 35.984375 \n",
       "L 18.0625 36.1875 \n",
       "Q 15.1875 36.859375 12.90625 38.375 \n",
       "Q 10.640625 39.890625 9.09375 42.015625 \n",
       "Q 7.5625 44.140625 6.75 46.71875 \n",
       "Q 5.953125 49.3125 5.953125 52.203125 \n",
       "Q 5.953125 55.8125 7.34375 59 \n",
       "Q 8.734375 62.203125 11.46875 64.625 \n",
       "Q 14.203125 67.046875 18.25 68.4375 \n",
       "Q 22.3125 69.828125 27.640625 69.828125 \n",
       "Q 33.25 69.828125 37.375 68.40625 \n",
       "Q 41.5 67 44.203125 64.578125 \n",
       "Q 46.921875 62.15625 48.234375 58.9375 \n",
       "Q 49.5625 55.71875 49.5625 52.09375 \n",
       "Q 49.5625 49.265625 48.75 46.671875 \n",
       "Q 47.953125 44.09375 46.40625 41.96875 \n",
       "Q 44.875 39.84375 42.59375 38.34375 \n",
       "Q 40.328125 36.859375 37.359375 36.28125 \n",
       "L 37.359375 36.078125 \n",
       "Q 40.328125 35.59375 42.859375 34.296875 \n",
       "Q 45.40625 33.015625 47.265625 30.890625 \n",
       "Q 49.125 28.765625 50.1875 25.828125 \n",
       "Q 51.265625 22.90625 51.265625 19.1875 \n",
       "M 40.4375 51.609375 \n",
       "Q 40.4375 54.203125 39.765625 56.34375 \n",
       "Q 39.109375 58.5 37.59375 60.03125 \n",
       "Q 36.078125 61.578125 33.640625 62.421875 \n",
       "Q 31.203125 63.28125 27.640625 63.28125 \n",
       "Q 24.171875 63.28125 21.78125 62.421875 \n",
       "Q 19.390625 61.578125 17.84375 60.03125 \n",
       "Q 16.3125 58.5 15.625 56.34375 \n",
       "Q 14.9375 54.203125 14.9375 51.609375 \n",
       "Q 14.9375 49.5625 15.46875 47.40625 \n",
       "Q 16.015625 45.265625 17.421875 43.5 \n",
       "Q 18.84375 41.75 21.328125 40.625 \n",
       "Q 23.828125 39.5 27.734375 39.5 \n",
       "Q 31.890625 39.5 34.40625 40.625 \n",
       "Q 36.921875 41.75 38.25 43.5 \n",
       "Q 39.59375 45.265625 40.015625 47.40625 \n",
       "Q 40.4375 49.5625 40.4375 51.609375 \n",
       "M 42.140625 20.015625 \n",
       "Q 42.140625 22.515625 41.453125 24.828125 \n",
       "Q 40.765625 27.15625 39.109375 28.9375 \n",
       "Q 37.453125 30.71875 34.640625 31.8125 \n",
       "Q 31.84375 32.90625 27.640625 32.90625 \n",
       "Q 23.78125 32.90625 21.0625 31.8125 \n",
       "Q 18.359375 30.71875 16.671875 28.90625 \n",
       "Q 14.984375 27.09375 14.203125 24.71875 \n",
       "Q 13.421875 22.359375 13.421875 19.828125 \n",
       "Q 13.421875 16.65625 14.203125 14.03125 \n",
       "Q 14.984375 11.421875 16.6875 9.546875 \n",
       "Q 18.40625 7.671875 21.1875 6.640625 \n",
       "Q 23.96875 5.609375 27.9375 5.609375 \n",
       "Q 31.9375 5.609375 34.671875 6.640625 \n",
       "Q 37.40625 7.671875 39.0625 9.546875 \n",
       "Q 40.71875 11.421875 41.421875 14.078125 \n",
       "Q 42.140625 16.75 42.140625 20.015625 \n",
       "\" id=\"LiberationSans-38\"/>\n",
       "      </defs>\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(579.15 416.7078125)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-38\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_28\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 28.1 402.460938 \n",
       "L 586.1 402.460938 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"28.1\" xlink:href=\"#mc147b927fd\" y=\"402.4609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"586.1\" xlink:href=\"#mc147b927fd\" y=\"402.4609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0.0 -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 405.046875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 28.1 324.340937 \n",
       "L 586.1 324.340937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"28.1\" xlink:href=\"#mc147b927fd\" y=\"324.3409375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_33\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"586.1\" xlink:href=\"#mc147b927fd\" y=\"324.3409375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.2 -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 326.926875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-32\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_34\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 28.1 246.220937 \n",
       "L 586.1 246.220937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"28.1\" xlink:href=\"#mc147b927fd\" y=\"246.2209375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"586.1\" xlink:href=\"#mc147b927fd\" y=\"246.2209375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0.4 -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 248.806875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-34\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 28.1 168.100937 \n",
       "L 586.1 168.100937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"28.1\" xlink:href=\"#mc147b927fd\" y=\"168.1009375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_39\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"586.1\" xlink:href=\"#mc147b927fd\" y=\"168.1009375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 0.6 -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 170.686875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-36\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_40\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 28.1 89.980937 \n",
       "L 586.1 89.980937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_41\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"28.1\" xlink:href=\"#mc147b927fd\" y=\"89.9809375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"586.1\" xlink:href=\"#mc147b927fd\" y=\"89.9809375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0.8 -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 92.566875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-30\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-38\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <path clip-path=\"url(#pec86585fd7)\" d=\"M 28.1 11.860937 \n",
       "L 586.1 11.860937 \n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"28.1\" xlink:href=\"#mc147b927fd\" y=\"11.8609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"line2d_45\">\n",
       "      <g>\n",
       "       <use style=\"fill:#262626;stroke:#262626;\" x=\"586.1\" xlink:href=\"#mc147b927fd\" y=\"11.8609375\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 1.0 -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 14.446875)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#LiberationSans-31\"/>\n",
       "       <use x=\"55.615234375\" xlink:href=\"#LiberationSans-2e\"/>\n",
       "       <use x=\"83.3984375\" xlink:href=\"#LiberationSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_46\">\n",
       "    <path clip-path=\"url(#pec86585fd7)\" d=\"M 28.1 24.330664 \n",
       "L 62.975 42.255895 \n",
       "L 97.85 42.397596 \n",
       "L 132.725 30.84893 \n",
       "L 167.6 38.78421 \n",
       "L 202.475 44.73567 \n",
       "L 237.35 49.553519 \n",
       "L 272.225 63.298558 \n",
       "L 307.1 92.134799 \n",
       "L 341.975 137.266706 \n",
       "L 376.85 217.257165 \n",
       "L 411.725 263.735235 \n",
       "L 446.6 300.931861 \n",
       "L 481.475 353.715645 \n",
       "L 516.35 379.717858 \n",
       "L 551.225 394.171404 \n",
       "\" style=\"fill:none;stroke:#4c72b0;stroke-linecap:round;stroke-width:1.75;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 28.1 11.860937 \n",
       "L 586.1 11.860937 \n",
       "\" style=\"fill:none;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 28.1 402.460938 \n",
       "L 28.1 11.860937 \n",
       "\" style=\"fill:none;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 28.1 402.460938 \n",
       "L 586.1 402.460938 \n",
       "\" style=\"fill:none;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 586.1 402.460938 \n",
       "L 586.1 11.860937 \n",
       "\" style=\"fill:none;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pec86585fd7\">\n",
       "   <rect height=\"390.6\" width=\"558.0\" x=\"28.1\" y=\"11.8609375\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f48867380b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn\n",
    "plt.figure(figsize=(10, 7))\n",
    "plt.ylabel = \"Accuracy\"\n",
    "plt.xlabel = \"Shear\"\n",
    "plt.plot(shear_values, scores)\n",
    "plt.savefig(\"/home/robert/data/Dropbox/Books/LearningDataMiningRevision/Chapter 8/Graphics/B06162_08_18.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.metrics import confusion_matrix \n",
    "cm = confusion_matrix(np.argmax(y_test, axis=1), np.argmax(y_pred, axis=1))\n",
    "cm = np.array([row / np.sum(row) for row in cm])\n",
    "np.fill_diagonal(cm, 0)\n",
    "# cm = np.log(cm + 1e-16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "plt.figure(figsize=(10, 10)) \n",
    "plt.imshow(cm, interpolation='nearest')\n",
    "tick_marks = np.arange(len(letters)+1)\n",
    "plt.xticks(tick_marks, letters) \n",
    "plt.yticks(tick_marks, letters) \n",
    "plt.ylabel('Actual') \n",
    "plt.xlabel('Predicted')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from nltk.metrics import edit_distance \n",
    "steps = edit_distance(\"STEP\", \"STOP\") \n",
    "print(\"The number of steps needed is: {0}\".format(steps))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def compute_distance(prediction, word):\n",
    "    \n",
    "    len_word = min(len(prediction), len(word))\n",
    "    \n",
    "    return len_word - sum([prediction[i] == word[i] for i in range(len_word)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from operator import itemgetter \n",
    "\n",
    "def improved_prediction(word, net, dictionary, shear=0.2, scale=1.0): \n",
    "    captcha = create_captcha(word, shear=shear, scale=scale) \n",
    "    prediction = predict_captcha(captcha, net) \n",
    "    \n",
    "    if prediction not in dictionary:\n",
    "        distances = sorted([(word, compute_distance(prediction, word)) for word in dictionary], key=itemgetter(1))\n",
    "        best_word = distances[0] \n",
    "        prediction = best_word[0]\n",
    "    return word == prediction, word, prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "num_correct = 0 \n",
    "num_incorrect = 0 \n",
    "for word in valid_words: \n",
    "    shear = random_state.choice(shear_values)\n",
    "    scale = random_state.choice(scale_values)\n",
    "    correct, word, prediction = improved_prediction(word, clf, valid_words, shear=shear, scale=scale)\n",
    "    #print(correct, word, prediction)\n",
    "    if correct: \n",
    "        num_correct += 1 \n",
    "    else: \n",
    "        num_incorrect += 1\n",
    "        #if len(prediction) == len(word):\n",
    "        #    print(word, prediction)\n",
    "print(\"Number correct is {0}\".format(num_correct)) \n",
    "print(\"Number incorrect is {0}\".format(num_incorrect))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "p = num_correct/(num_correct+num_incorrect)\n",
    "p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
